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Finding the Fourth Proportional to 642.10, 886.09 and 347.37

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Solution

The fourth proportional to 642.10, 886.09 and 347.37 is: 479.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    642.10 : 886.09 = 347.37 : x
  2. Step 2: Convert to fraction form
    642.10/886.09 = 347.37/x
  3. Step 3: Cross multiply
    642.10x = 886.09 × 347.37
  4. Step 4: Simplify right side
    642.10x = 307,800.41
  5. Step 5: Solve for x
    x = 307,800.41/642.10
  6. Step 6: Final answer
    x = 479.37

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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.