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Finding the Fourth Proportional to 339.24, 505.01 and 337.42

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Solution

The fourth proportional to 339.24, 505.01 and 337.42 is: 502.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.24 : 505.01 = 337.42 : x
  2. Step 2: Convert to fraction form
    339.24/505.01 = 337.42/x
  3. Step 3: Cross multiply
    339.24x = 505.01 × 337.42
  4. Step 4: Simplify right side
    339.24x = 170,400.47
  5. Step 5: Solve for x
    x = 170,400.47/339.24
  6. Step 6: Final answer
    x = 502.30

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.