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Finding the Fourth Proportional to 257.76, 355.69 and 159.53

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Solution

The fourth proportional to 257.76, 355.69 and 159.53 is: 220.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.76 : 355.69 = 159.53 : x
  2. Step 2: Convert to fraction form
    257.76/355.69 = 159.53/x
  3. Step 3: Cross multiply
    257.76x = 355.69 × 159.53
  4. Step 4: Simplify right side
    257.76x = 56,744.31
  5. Step 5: Solve for x
    x = 56,744.31/257.76
  6. Step 6: Final answer
    x = 220.14

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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.