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Finding the Fourth Proportional to 150.86, 224.80 and 134.71

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Solution

The fourth proportional to 150.86, 224.80 and 134.71 is: 200.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.86 : 224.80 = 134.71 : x
  2. Step 2: Convert to fraction form
    150.86/224.80 = 134.71/x
  3. Step 3: Cross multiply
    150.86x = 224.80 × 134.71
  4. Step 4: Simplify right side
    150.86x = 30,282.81
  5. Step 5: Solve for x
    x = 30,282.81/150.86
  6. Step 6: Final answer
    x = 200.73

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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.