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Finding the Fourth Proportional to 386.52, 532.96 and 347.20

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Solution

The fourth proportional to 386.52, 532.96 and 347.20 is: 478.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.52 : 532.96 = 347.20 : x
  2. Step 2: Convert to fraction form
    386.52/532.96 = 347.20/x
  3. Step 3: Cross multiply
    386.52x = 532.96 × 347.20
  4. Step 4: Simplify right side
    386.52x = 185,043.71
  5. Step 5: Solve for x
    x = 185,043.71/386.52
  6. Step 6: Final answer
    x = 478.74

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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.