Home / 346.71-520.17-312.31

Finding the Fourth Proportional to 346.71, 520.17 and 312.31

Calculator

Solution

The fourth proportional to 346.71, 520.17 and 312.31 is: 468.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    346.71 : 520.17 = 312.31 : x
  2. Step 2: Convert to fraction form
    346.71/520.17 = 312.31/x
  3. Step 3: Cross multiply
    346.71x = 520.17 × 312.31
  4. Step 4: Simplify right side
    346.71x = 162,452.60
  5. Step 5: Solve for x
    x = 162,452.60/346.71
  6. Step 6: Final answer
    x = 468.56

Related Problems

Find fourth proportional to 173.35, 260.09 and 156.15
Half scale
Find fourth proportional to 693.41, 1,040.34 and 624.61
Double scale
Find fourth proportional to 347.71, 521.67 and 313.31
Similar ratio
Find fourth proportional to 520.06, 780.26 and 468.46
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.