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Finding the Fourth Proportional to 387.32, 533.84 and 282.40

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Solution

The fourth proportional to 387.32, 533.84 and 282.40 is: 389.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.32 : 533.84 = 282.40 : x
  2. Step 2: Convert to fraction form
    387.32/533.84 = 282.40/x
  3. Step 3: Cross multiply
    387.32x = 533.84 × 282.40
  4. Step 4: Simplify right side
    387.32x = 150,756.42
  5. Step 5: Solve for x
    x = 150,756.42/387.32
  6. Step 6: Final answer
    x = 389.23

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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.