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Finding the Fourth Proportional to 65.14, 97.74 and 34.70

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Solution

The fourth proportional to 65.14, 97.74 and 34.70 is: 52.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.14 : 97.74 = 34.70 : x
  2. Step 2: Convert to fraction form
    65.14/97.74 = 34.70/x
  3. Step 3: Cross multiply
    65.14x = 97.74 × 34.70
  4. Step 4: Simplify right side
    65.14x = 3,391.50
  5. Step 5: Solve for x
    x = 3,391.50/65.14
  6. Step 6: Final answer
    x = 52.06

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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.