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Finding the Fourth Proportional to 157.72, 217.76 and 102.54

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Solution

The fourth proportional to 157.72, 217.76 and 102.54 is: 141.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.72 : 217.76 = 102.54 : x
  2. Step 2: Convert to fraction form
    157.72/217.76 = 102.54/x
  3. Step 3: Cross multiply
    157.72x = 217.76 × 102.54
  4. Step 4: Simplify right side
    157.72x = 22,329.11
  5. Step 5: Solve for x
    x = 22,329.11/157.72
  6. Step 6: Final answer
    x = 141.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.