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Finding the Fourth Proportional to 347.45, 477.52 and 337.73

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Solution

The fourth proportional to 347.45, 477.52 and 337.73 is: 464.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    347.45 : 477.52 = 337.73 : x
  2. Step 2: Convert to fraction form
    347.45/477.52 = 337.73/x
  3. Step 3: Cross multiply
    347.45x = 477.52 × 337.73
  4. Step 4: Simplify right side
    347.45x = 161,269.60
  5. Step 5: Solve for x
    x = 161,269.60/347.45
  6. Step 6: Final answer
    x = 464.16

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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.