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Finding the Fourth Proportional to 400.92, 549.50 and 388.58

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Solution

The fourth proportional to 400.92, 549.50 and 388.58 is: 532.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.92 : 549.50 = 388.58 : x
  2. Step 2: Convert to fraction form
    400.92/549.50 = 388.58/x
  3. Step 3: Cross multiply
    400.92x = 549.50 × 388.58
  4. Step 4: Simplify right side
    400.92x = 213,524.71
  5. Step 5: Solve for x
    x = 213,524.71/400.92
  6. Step 6: Final answer
    x = 532.59

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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.