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Finding the Fourth Proportional to 86.46, 129.78 and 64.77

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Solution

The fourth proportional to 86.46, 129.78 and 64.77 is: 97.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.46 : 129.78 = 64.77 : x
  2. Step 2: Convert to fraction form
    86.46/129.78 = 64.77/x
  3. Step 3: Cross multiply
    86.46x = 129.78 × 64.77
  4. Step 4: Simplify right side
    86.46x = 8,405.85
  5. Step 5: Solve for x
    x = 8,405.85/86.46
  6. Step 6: Final answer
    x = 97.22

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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.