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Finding the Fourth Proportional to 387.93, 535.37 and 256.85

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Solution

The fourth proportional to 387.93, 535.37 and 256.85 is: 354.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.93 : 535.37 = 256.85 : x
  2. Step 2: Convert to fraction form
    387.93/535.37 = 256.85/x
  3. Step 3: Cross multiply
    387.93x = 535.37 × 256.85
  4. Step 4: Simplify right side
    387.93x = 137,505.82
  5. Step 5: Solve for x
    x = 137,505.82/387.93
  6. Step 6: Final answer
    x = 354.46

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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.