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Finding the Fourth Proportional to 387.64, 538.15 and 375.76

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Solution

The fourth proportional to 387.64, 538.15 and 375.76 is: 521.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.64 : 538.15 = 375.76 : x
  2. Step 2: Convert to fraction form
    387.64/538.15 = 375.76/x
  3. Step 3: Cross multiply
    387.64x = 538.15 × 375.76
  4. Step 4: Simplify right side
    387.64x = 202,215.24
  5. Step 5: Solve for x
    x = 202,215.24/387.64
  6. Step 6: Final answer
    x = 521.66

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.