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Finding the Fourth Proportional to 642.15, 886.16 and 347.41

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Solution

The fourth proportional to 642.15, 886.16 and 347.41 is: 479.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.15 : 886.16 = 347.41 : x
  2. Step 2: Convert to fraction form
    642.15/886.16 = 347.41/x
  3. Step 3: Cross multiply
    642.15x = 886.16 × 347.41
  4. Step 4: Simplify right side
    642.15x = 307,860.85
  5. Step 5: Solve for x
    x = 307,860.85/642.15
  6. Step 6: Final answer
    x = 479.42

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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.