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Finding the Fourth Proportional to 642.05, 886.02 and 347.31

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Solution

The fourth proportional to 642.05, 886.02 and 347.31 is: 479.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.05 : 886.02 = 347.31 : x
  2. Step 2: Convert to fraction form
    642.05/886.02 = 347.31/x
  3. Step 3: Cross multiply
    642.05x = 886.02 × 347.31
  4. Step 4: Simplify right side
    642.05x = 307,723.61
  5. Step 5: Solve for x
    x = 307,723.61/642.05
  6. Step 6: Final answer
    x = 479.29

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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.