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Finding the Fourth Proportional to 157.17, 235.86 and 85.08

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Solution

The fourth proportional to 157.17, 235.86 and 85.08 is: 127.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    157.17 : 235.86 = 85.08 : x
  2. Step 2: Convert to fraction form
    157.17/235.86 = 85.08/x
  3. Step 3: Cross multiply
    157.17x = 235.86 × 85.08
  4. Step 4: Simplify right side
    157.17x = 20,066.97
  5. Step 5: Solve for x
    x = 20,066.97/157.17
  6. Step 6: Final answer
    x = 127.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.