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Finding the Fourth Proportional to 116.48, 174.74 and 65.10

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Solution

The fourth proportional to 116.48, 174.74 and 65.10 is: 97.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.48 : 174.74 = 65.10 : x
  2. Step 2: Convert to fraction form
    116.48/174.74 = 65.10/x
  3. Step 3: Cross multiply
    116.48x = 174.74 × 65.10
  4. Step 4: Simplify right side
    116.48x = 11,375.57
  5. Step 5: Solve for x
    x = 11,375.57/116.48
  6. Step 6: Final answer
    x = 97.66

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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.