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Finding the Fourth Proportional to 394.76, 542.54 and 307.28

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Solution

The fourth proportional to 394.76, 542.54 and 307.28 is: 422.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    394.76 : 542.54 = 307.28 : x
  2. Step 2: Convert to fraction form
    394.76/542.54 = 307.28/x
  3. Step 3: Cross multiply
    394.76x = 542.54 × 307.28
  4. Step 4: Simplify right side
    394.76x = 166,707.44
  5. Step 5: Solve for x
    x = 166,707.44/394.76
  6. Step 6: Final answer
    x = 422.31

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.