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Finding the Fourth Proportional to 446.38, 616.01 and 259.90

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Solution

The fourth proportional to 446.38, 616.01 and 259.90 is: 358.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.38 : 616.01 = 259.90 : x
  2. Step 2: Convert to fraction form
    446.38/616.01 = 259.90/x
  3. Step 3: Cross multiply
    446.38x = 616.01 × 259.90
  4. Step 4: Simplify right side
    446.38x = 160,098.16
  5. Step 5: Solve for x
    x = 160,098.16/446.38
  6. Step 6: Final answer
    x = 358.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.