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Finding the Fourth Proportional to 61.65, 92.33 and 42.34

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Solution

The fourth proportional to 61.65, 92.33 and 42.34 is: 63.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.65 : 92.33 = 42.34 : x
  2. Step 2: Convert to fraction form
    61.65/92.33 = 42.34/x
  3. Step 3: Cross multiply
    61.65x = 92.33 × 42.34
  4. Step 4: Simplify right side
    61.65x = 3,909.08
  5. Step 5: Solve for x
    x = 3,909.08/61.65
  6. Step 6: Final answer
    x = 63.40

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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.