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Finding the Fourth Proportional to 259.47, 358.17 and 159.90

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Solution

The fourth proportional to 259.47, 358.17 and 159.90 is: 220.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.47 : 358.17 = 159.90 : x
  2. Step 2: Convert to fraction form
    259.47/358.17 = 159.90/x
  3. Step 3: Cross multiply
    259.47x = 358.17 × 159.90
  4. Step 4: Simplify right side
    259.47x = 57,271.38
  5. Step 5: Solve for x
    x = 57,271.38/259.47
  6. Step 6: Final answer
    x = 220.72

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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.