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Finding the Fourth Proportional to 337.66, 506.51 and 155.06

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Solution

The fourth proportional to 337.66, 506.51 and 155.06 is: 232.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.66 : 506.51 = 155.06 : x
  2. Step 2: Convert to fraction form
    337.66/506.51 = 155.06/x
  3. Step 3: Cross multiply
    337.66x = 506.51 × 155.06
  4. Step 4: Simplify right side
    337.66x = 78,537.30
  5. Step 5: Solve for x
    x = 78,537.30/337.66
  6. Step 6: Final answer
    x = 232.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.