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Finding the Fourth Proportional to 339.74, 507.15 and 314.38

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Solution

The fourth proportional to 339.74, 507.15 and 314.38 is: 469.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    339.74 : 507.15 = 314.38 : x
  2. Step 2: Convert to fraction form
    339.74/507.15 = 314.38/x
  3. Step 3: Cross multiply
    339.74x = 507.15 × 314.38
  4. Step 4: Simplify right side
    339.74x = 159,435.28
  5. Step 5: Solve for x
    x = 159,435.28/339.74
  6. Step 6: Final answer
    x = 469.29

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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.