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Finding the Fourth Proportional to 150.68, 224.20 and 150.32

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Solution

The fourth proportional to 150.68, 224.20 and 150.32 is: 223.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.68 : 224.20 = 150.32 : x
  2. Step 2: Convert to fraction form
    150.68/224.20 = 150.32/x
  3. Step 3: Cross multiply
    150.68x = 224.20 × 150.32
  4. Step 4: Simplify right side
    150.68x = 33,701.74
  5. Step 5: Solve for x
    x = 33,701.74/150.68
  6. Step 6: Final answer
    x = 223.66

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.