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Finding the Fourth Proportional to 359.24, 495.15 and 259.52

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Solution

The fourth proportional to 359.24, 495.15 and 259.52 is: 357.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.24 : 495.15 = 259.52 : x
  2. Step 2: Convert to fraction form
    359.24/495.15 = 259.52/x
  3. Step 3: Cross multiply
    359.24x = 495.15 × 259.52
  4. Step 4: Simplify right side
    359.24x = 128,501.33
  5. Step 5: Solve for x
    x = 128,501.33/359.24
  6. Step 6: Final answer
    x = 357.70

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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.