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Finding the Fourth Proportional to 86.34, 129.58 and 65.10

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Solution

The fourth proportional to 86.34, 129.58 and 65.10 is: 97.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.34 : 129.58 = 65.10 : x
  2. Step 2: Convert to fraction form
    86.34/129.58 = 65.10/x
  3. Step 3: Cross multiply
    86.34x = 129.58 × 65.10
  4. Step 4: Simplify right side
    86.34x = 8,435.66
  5. Step 5: Solve for x
    x = 8,435.66/86.34
  6. Step 6: Final answer
    x = 97.70

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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.