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Finding the Fourth Proportional to 345.15, 475.34 and 337.59

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Solution

The fourth proportional to 345.15, 475.34 and 337.59 is: 464.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.15 : 475.34 = 337.59 : x
  2. Step 2: Convert to fraction form
    345.15/475.34 = 337.59/x
  3. Step 3: Cross multiply
    345.15x = 475.34 × 337.59
  4. Step 4: Simplify right side
    345.15x = 160,468.34
  5. Step 5: Solve for x
    x = 160,468.34/345.15
  6. Step 6: Final answer
    x = 464.92

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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.