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Finding the Fourth Proportional to 157.69, 217.51 and 101.66

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Solution

The fourth proportional to 157.69, 217.51 and 101.66 is: 140.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.69 : 217.51 = 101.66 : x
  2. Step 2: Convert to fraction form
    157.69/217.51 = 101.66/x
  3. Step 3: Cross multiply
    157.69x = 217.51 × 101.66
  4. Step 4: Simplify right side
    157.69x = 22,111.11
  5. Step 5: Solve for x
    x = 22,111.11/157.69
  6. Step 6: Final answer
    x = 140.22

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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.