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Finding the Fourth Proportional to 387.96, 535.21 and 257.06

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Solution

The fourth proportional to 387.96, 535.21 and 257.06 is: 354.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    387.96 : 535.21 = 257.06 : x
  2. Step 2: Convert to fraction form
    387.96/535.21 = 257.06/x
  3. Step 3: Cross multiply
    387.96x = 535.21 × 257.06
  4. Step 4: Simplify right side
    387.96x = 137,577.76
  5. Step 5: Solve for x
    x = 137,577.76/387.96
  6. Step 6: Final answer
    x = 354.62

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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.