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Finding the Fourth Proportional to 65.15, 97.78 and 34.74

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Solution

The fourth proportional to 65.15, 97.78 and 34.74 is: 52.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.15 : 97.78 = 34.74 : x
  2. Step 2: Convert to fraction form
    65.15/97.78 = 34.74/x
  3. Step 3: Cross multiply
    65.15x = 97.78 × 34.74
  4. Step 4: Simplify right side
    65.15x = 3,396.88
  5. Step 5: Solve for x
    x = 3,396.88/65.15
  6. Step 6: Final answer
    x = 52.14

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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.