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Finding the Fourth Proportional to 387.57, 534.21 and 282.65

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Solution

The fourth proportional to 387.57, 534.21 and 282.65 is: 389.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.57 : 534.21 = 282.65 : x
  2. Step 2: Convert to fraction form
    387.57/534.21 = 282.65/x
  3. Step 3: Cross multiply
    387.57x = 534.21 × 282.65
  4. Step 4: Simplify right side
    387.57x = 150,991.79
  5. Step 5: Solve for x
    x = 150,991.79/387.57
  6. Step 6: Final answer
    x = 389.59

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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.