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Finding the Fourth Proportional to 386.48, 532.76 and 293.32

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Solution

The fourth proportional to 386.48, 532.76 and 293.32 is: 404.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.48 : 532.76 = 293.32 : x
  2. Step 2: Convert to fraction form
    386.48/532.76 = 293.32/x
  3. Step 3: Cross multiply
    386.48x = 532.76 × 293.32
  4. Step 4: Simplify right side
    386.48x = 156,269.16
  5. Step 5: Solve for x
    x = 156,269.16/386.48
  6. Step 6: Final answer
    x = 404.34

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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.