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Finding the Fourth Proportional to 359.71, 497.19 and 262.15

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Solution

The fourth proportional to 359.71, 497.19 and 262.15 is: 362.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.71 : 497.19 = 262.15 : x
  2. Step 2: Convert to fraction form
    359.71/497.19 = 262.15/x
  3. Step 3: Cross multiply
    359.71x = 497.19 × 262.15
  4. Step 4: Simplify right side
    359.71x = 130,338.36
  5. Step 5: Solve for x
    x = 130,338.36/359.71
  6. Step 6: Final answer
    x = 362.34

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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.