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Finding the Fourth Proportional to 446.72, 616.56 and 291.20

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Solution

The fourth proportional to 446.72, 616.56 and 291.20 is: 401.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    446.72 : 616.56 = 291.20 : x
  2. Step 2: Convert to fraction form
    446.72/616.56 = 291.20/x
  3. Step 3: Cross multiply
    446.72x = 616.56 × 291.20
  4. Step 4: Simplify right side
    446.72x = 179,542.27
  5. Step 5: Solve for x
    x = 179,542.27/446.72
  6. Step 6: Final answer
    x = 401.91

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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.