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Finding the Fourth Proportional to 257.69, 355.61 and 159.47

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Solution

The fourth proportional to 257.69, 355.61 and 159.47 is: 220.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    257.69 : 355.61 = 159.47 : x
  2. Step 2: Convert to fraction form
    257.69/355.61 = 159.47/x
  3. Step 3: Cross multiply
    257.69x = 355.61 × 159.47
  4. Step 4: Simplify right side
    257.69x = 56,709.13
  5. Step 5: Solve for x
    x = 56,709.13/257.69
  6. Step 6: Final answer
    x = 220.07

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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.