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Finding the Fourth Proportional to 86.74, 130.08 and 41.10

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Solution

The fourth proportional to 86.74, 130.08 and 41.10 is: 61.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    86.74 : 130.08 = 41.10 : x
  2. Step 2: Convert to fraction form
    86.74/130.08 = 41.10/x
  3. Step 3: Cross multiply
    86.74x = 130.08 × 41.10
  4. Step 4: Simplify right side
    86.74x = 5,346.29
  5. Step 5: Solve for x
    x = 5,346.29/86.74
  6. Step 6: Final answer
    x = 61.64

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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.