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Finding the Fourth Proportional to 102.65, 154.04 and 41.78

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Solution

The fourth proportional to 102.65, 154.04 and 41.78 is: 62.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    102.65 : 154.04 = 41.78 : x
  2. Step 2: Convert to fraction form
    102.65/154.04 = 41.78/x
  3. Step 3: Cross multiply
    102.65x = 154.04 × 41.78
  4. Step 4: Simplify right side
    102.65x = 6,434.81
  5. Step 5: Solve for x
    x = 6,434.81/102.65
  6. Step 6: Final answer
    x = 62.69

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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.