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Finding the Fourth Proportional to 616.42, 924.58 and 205.55

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Solution

The fourth proportional to 616.42, 924.58 and 205.55 is: 308.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.42 : 924.58 = 205.55 : x
  2. Step 2: Convert to fraction form
    616.42/924.58 = 205.55/x
  3. Step 3: Cross multiply
    616.42x = 924.58 × 205.55
  4. Step 4: Simplify right side
    616.42x = 190,046.52
  5. Step 5: Solve for x
    x = 190,046.52/616.42
  6. Step 6: Final answer
    x = 308.31

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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.