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Finding the Fourth Proportional to 387.30, 534.48 and 262.92

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Solution

The fourth proportional to 387.30, 534.48 and 262.92 is: 362.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.30 : 534.48 = 262.92 : x
  2. Step 2: Convert to fraction form
    387.30/534.48 = 262.92/x
  3. Step 3: Cross multiply
    387.30x = 534.48 × 262.92
  4. Step 4: Simplify right side
    387.30x = 140,525.48
  5. Step 5: Solve for x
    x = 140,525.48/387.30
  6. Step 6: Final answer
    x = 362.83

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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.