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Finding the Fourth Proportional to 616.68, 924.96 and 183.78

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Solution

The fourth proportional to 616.68, 924.96 and 183.78 is: 275.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.68 : 924.96 = 183.78 : x
  2. Step 2: Convert to fraction form
    616.68/924.96 = 183.78/x
  3. Step 3: Cross multiply
    616.68x = 924.96 × 183.78
  4. Step 4: Simplify right side
    616.68x = 169,989.15
  5. Step 5: Solve for x
    x = 169,989.15/616.68
  6. Step 6: Final answer
    x = 275.65

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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.