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Finding the Fourth Proportional to 157.29, 217.06 and 87.35

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Solution

The fourth proportional to 157.29, 217.06 and 87.35 is: 120.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.29 : 217.06 = 87.35 : x
  2. Step 2: Convert to fraction form
    157.29/217.06 = 87.35/x
  3. Step 3: Cross multiply
    157.29x = 217.06 × 87.35
  4. Step 4: Simplify right side
    157.29x = 18,959.29
  5. Step 5: Solve for x
    x = 18,959.29/157.29
  6. Step 6: Final answer
    x = 120.54

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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.