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Finding the Fourth Proportional to 150.64, 224.87 and 139.21

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Solution

The fourth proportional to 150.64, 224.87 and 139.21 is: 207.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.64 : 224.87 = 139.21 : x
  2. Step 2: Convert to fraction form
    150.64/224.87 = 139.21/x
  3. Step 3: Cross multiply
    150.64x = 224.87 × 139.21
  4. Step 4: Simplify right side
    150.64x = 31,302.33
  5. Step 5: Solve for x
    x = 31,302.33/150.64
  6. Step 6: Final answer
    x = 207.80

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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.