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Finding the Fourth Proportional to 359.56, 491.92 and 358.02

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Solution

The fourth proportional to 359.56, 491.92 and 358.02 is: 489.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.56 : 491.92 = 358.02 : x
  2. Step 2: Convert to fraction form
    359.56/491.92 = 358.02/x
  3. Step 3: Cross multiply
    359.56x = 491.92 × 358.02
  4. Step 4: Simplify right side
    359.56x = 176,117.20
  5. Step 5: Solve for x
    x = 176,117.20/359.56
  6. Step 6: Final answer
    x = 489.81

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.