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Finding the Fourth Proportional to 157.72, 217.64 and 87.77

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Solution

The fourth proportional to 157.72, 217.64 and 87.77 is: 121.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.72 : 217.64 = 87.77 : x
  2. Step 2: Convert to fraction form
    157.72/217.64 = 87.77/x
  3. Step 3: Cross multiply
    157.72x = 217.64 × 87.77
  4. Step 4: Simplify right side
    157.72x = 19,102.86
  5. Step 5: Solve for x
    x = 19,102.86/157.72
  6. Step 6: Final answer
    x = 121.12

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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.