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Finding the Fourth Proportional to 85.42, 127.66 and 62.65

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Solution

The fourth proportional to 85.42, 127.66 and 62.65 is: 93.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    85.42 : 127.66 = 62.65 : x
  2. Step 2: Convert to fraction form
    85.42/127.66 = 62.65/x
  3. Step 3: Cross multiply
    85.42x = 127.66 × 62.65
  4. Step 4: Simplify right side
    85.42x = 7,997.90
  5. Step 5: Solve for x
    x = 7,997.90/85.42
  6. Step 6: Final answer
    x = 93.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.