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Finding the Fourth Proportional to 65.14, 97.71 and 29.10

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Solution

The fourth proportional to 65.14, 97.71 and 29.10 is: 43.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.14 : 97.71 = 29.10 : x
  2. Step 2: Convert to fraction form
    65.14/97.71 = 29.10/x
  3. Step 3: Cross multiply
    65.14x = 97.71 × 29.10
  4. Step 4: Simplify right side
    65.14x = 2,843.36
  5. Step 5: Solve for x
    x = 2,843.36/65.14
  6. Step 6: Final answer
    x = 43.65

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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.