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Finding the Fourth Proportional to 387.84, 531.72 and 381.48

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Solution

The fourth proportional to 387.84, 531.72 and 381.48 is: 523.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.84 : 531.72 = 381.48 : x
  2. Step 2: Convert to fraction form
    387.84/531.72 = 381.48/x
  3. Step 3: Cross multiply
    387.84x = 531.72 × 381.48
  4. Step 4: Simplify right side
    387.84x = 202,840.55
  5. Step 5: Solve for x
    x = 202,840.55/387.84
  6. Step 6: Final answer
    x = 523.00

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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.