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Finding the Fourth Proportional to 387.50, 533.81 and 282.32

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Solution

The fourth proportional to 387.50, 533.81 and 282.32 is: 388.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.50 : 533.81 = 282.32 : x
  2. Step 2: Convert to fraction form
    387.50/533.81 = 282.32/x
  3. Step 3: Cross multiply
    387.50x = 533.81 × 282.32
  4. Step 4: Simplify right side
    387.50x = 150,703.69
  5. Step 5: Solve for x
    x = 150,703.69/387.50
  6. Step 6: Final answer
    x = 388.91

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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.