Home / 228.78-315.53-150

Finding the Fourth Proportional to 228.78, 315.53 and 150

Calculator

Solution

The fourth proportional to 228.78, 315.53 and 150 is: 206.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    228.78 : 315.53 = 150 : x
  2. Step 2: Convert to fraction form
    228.78/315.53 = 150/x
  3. Step 3: Cross multiply
    228.78x = 315.53 × 150
  4. Step 4: Simplify right side
    228.78x = 47,329.50
  5. Step 5: Solve for x
    x = 47,329.50/228.78
  6. Step 6: Final answer
    x = 206.88

Related Problems

Find fourth proportional to 114.39, 157.77 and 75
Half scale
Find fourth proportional to 457.56, 631.06 and 300
Double scale
Find fourth proportional to 229.78, 316.91 and 151
Similar ratio
Find fourth proportional to 343.17, 473.30 and 225
1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.