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Finding the Fourth Proportional to 337.64, 506.86 and 216.14

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Solution

The fourth proportional to 337.64, 506.86 and 216.14 is: 324.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    337.64 : 506.86 = 216.14 : x
  2. Step 2: Convert to fraction form
    337.64/506.86 = 216.14/x
  3. Step 3: Cross multiply
    337.64x = 506.86 × 216.14
  4. Step 4: Simplify right side
    337.64x = 109,549.65
  5. Step 5: Solve for x
    x = 109,549.65/337.64
  6. Step 6: Final answer
    x = 324.46

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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.