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Finding the Fourth Proportional to 345.66, 517.28 and 248.27

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Solution

The fourth proportional to 345.66, 517.28 and 248.27 is: 371.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    345.66 : 517.28 = 248.27 : x
  2. Step 2: Convert to fraction form
    345.66/517.28 = 248.27/x
  3. Step 3: Cross multiply
    345.66x = 517.28 × 248.27
  4. Step 4: Simplify right side
    345.66x = 128,425.11
  5. Step 5: Solve for x
    x = 128,425.11/345.66
  6. Step 6: Final answer
    x = 371.54

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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.