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Finding the Fourth Proportional to 347.08, 475.82 and 337.90

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Solution

The fourth proportional to 347.08, 475.82 and 337.90 is: 463.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.08 : 475.82 = 337.90 : x
  2. Step 2: Convert to fraction form
    347.08/475.82 = 337.90/x
  3. Step 3: Cross multiply
    347.08x = 475.82 × 337.90
  4. Step 4: Simplify right side
    347.08x = 160,779.58
  5. Step 5: Solve for x
    x = 160,779.58/347.08
  6. Step 6: Final answer
    x = 463.23

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.