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Finding the Fourth Proportional to 337.66, 506.64 and 247.11

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Solution

The fourth proportional to 337.66, 506.64 and 247.11 is: 370.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.66 : 506.64 = 247.11 : x
  2. Step 2: Convert to fraction form
    337.66/506.64 = 247.11/x
  3. Step 3: Cross multiply
    337.66x = 506.64 × 247.11
  4. Step 4: Simplify right side
    337.66x = 125,195.81
  5. Step 5: Solve for x
    x = 125,195.81/337.66
  6. Step 6: Final answer
    x = 370.77

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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.