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Finding the Fourth Proportional to 150.42, 224.20 and 140.16

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Solution

The fourth proportional to 150.42, 224.20 and 140.16 is: 208.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.42 : 224.20 = 140.16 : x
  2. Step 2: Convert to fraction form
    150.42/224.20 = 140.16/x
  3. Step 3: Cross multiply
    150.42x = 224.20 × 140.16
  4. Step 4: Simplify right side
    150.42x = 31,423.87
  5. Step 5: Solve for x
    x = 31,423.87/150.42
  6. Step 6: Final answer
    x = 208.91

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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.