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Finding the Fourth Proportional to 150.91, 224.95 and 140.65

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Solution

The fourth proportional to 150.91, 224.95 and 140.65 is: 209.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    150.91 : 224.95 = 140.65 : x
  2. Step 2: Convert to fraction form
    150.91/224.95 = 140.65/x
  3. Step 3: Cross multiply
    150.91x = 224.95 × 140.65
  4. Step 4: Simplify right side
    150.91x = 31,639.22
  5. Step 5: Solve for x
    x = 31,639.22/150.91
  6. Step 6: Final answer
    x = 209.66

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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.