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Finding the Fourth Proportional to 398.53, 548.48 and 337.17

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Solution

The fourth proportional to 398.53, 548.48 and 337.17 is: 464.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    398.53 : 548.48 = 337.17 : x
  2. Step 2: Convert to fraction form
    398.53/548.48 = 337.17/x
  3. Step 3: Cross multiply
    398.53x = 548.48 × 337.17
  4. Step 4: Simplify right side
    398.53x = 184,926.57
  5. Step 5: Solve for x
    x = 184,926.57/398.53
  6. Step 6: Final answer
    x = 464.02

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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.