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Finding the Fourth Proportional to 151.07, 224.98 and 141.75

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Solution

The fourth proportional to 151.07, 224.98 and 141.75 is: 211.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    151.07 : 224.98 = 141.75 : x
  2. Step 2: Convert to fraction form
    151.07/224.98 = 141.75/x
  3. Step 3: Cross multiply
    151.07x = 224.98 × 141.75
  4. Step 4: Simplify right side
    151.07x = 31,890.56
  5. Step 5: Solve for x
    x = 31,890.56/151.07
  6. Step 6: Final answer
    x = 211.10

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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.