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Finding the Fourth Proportional to 392.73, 542.17 and 304.01

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Solution

The fourth proportional to 392.73, 542.17 and 304.01 is: 419.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    392.73 : 542.17 = 304.01 : x
  2. Step 2: Convert to fraction form
    392.73/542.17 = 304.01/x
  3. Step 3: Cross multiply
    392.73x = 542.17 × 304.01
  4. Step 4: Simplify right side
    392.73x = 164,825.70
  5. Step 5: Solve for x
    x = 164,825.70/392.73
  6. Step 6: Final answer
    x = 419.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.