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Finding the Fourth Proportional to 337.94, 508.72 and 261.32

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Solution

The fourth proportional to 337.94, 508.72 and 261.32 is: 393.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.94 : 508.72 = 261.32 : x
  2. Step 2: Convert to fraction form
    337.94/508.72 = 261.32/x
  3. Step 3: Cross multiply
    337.94x = 508.72 × 261.32
  4. Step 4: Simplify right side
    337.94x = 132,938.71
  5. Step 5: Solve for x
    x = 132,938.71/337.94
  6. Step 6: Final answer
    x = 393.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.