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Finding the Fourth Proportional to 616.26, 924.42 and 205.46

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Solution

The fourth proportional to 616.26, 924.42 and 205.46 is: 308.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    616.26 : 924.42 = 205.46 : x
  2. Step 2: Convert to fraction form
    616.26/924.42 = 205.46/x
  3. Step 3: Cross multiply
    616.26x = 924.42 × 205.46
  4. Step 4: Simplify right side
    616.26x = 189,931.33
  5. Step 5: Solve for x
    x = 189,931.33/616.26
  6. Step 6: Final answer
    x = 308.20

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Double scale
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1.5x scale

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.