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Finding the Fourth Proportional to 359.24, 539.28 and 167.28

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Solution

The fourth proportional to 359.24, 539.28 and 167.28 is: 251.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.24 : 539.28 = 167.28 : x
  2. Step 2: Convert to fraction form
    359.24/539.28 = 167.28/x
  3. Step 3: Cross multiply
    359.24x = 539.28 × 167.28
  4. Step 4: Simplify right side
    359.24x = 90,210.76
  5. Step 5: Solve for x
    x = 90,210.76/359.24
  6. Step 6: Final answer
    x = 251.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.