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Finding the Fourth Proportional to 447.30, 616.93 and 342.13

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Solution

The fourth proportional to 447.30, 616.93 and 342.13 is: 471.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    447.30 : 616.93 = 342.13 : x
  2. Step 2: Convert to fraction form
    447.30/616.93 = 342.13/x
  3. Step 3: Cross multiply
    447.30x = 616.93 × 342.13
  4. Step 4: Simplify right side
    447.30x = 211,070.26
  5. Step 5: Solve for x
    x = 211,070.26/447.30
  6. Step 6: Final answer
    x = 471.88

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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.