Home / 414.18-623.36-312

Finding the Fourth Proportional to 414.18, 623.36 and 312

Calculator

Solution

The fourth proportional to 414.18, 623.36 and 312 is: 469.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.18 : 623.36 = 312 : x
  2. Step 2: Convert to fraction form
    414.18/623.36 = 312/x
  3. Step 3: Cross multiply
    414.18x = 623.36 × 312
  4. Step 4: Simplify right side
    414.18x = 194,488.32
  5. Step 5: Solve for x
    x = 194,488.32/414.18
  6. Step 6: Final answer
    x = 469.57

Related Problems

Find fourth proportional to 207.09, 311.68 and 156
Half scale
Find fourth proportional to 828.36, 1,246.72 and 624
Double scale
Find fourth proportional to 415.18, 624.87 and 313
Similar ratio
Find fourth proportional to 621.27, 935.04 and 468
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.