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Finding the Fourth Proportional to 359.56, 542.05 and 348.22

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Solution

The fourth proportional to 359.56, 542.05 and 348.22 is: 524.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.56 : 542.05 = 348.22 : x
  2. Step 2: Convert to fraction form
    359.56/542.05 = 348.22/x
  3. Step 3: Cross multiply
    359.56x = 542.05 × 348.22
  4. Step 4: Simplify right side
    359.56x = 188,752.65
  5. Step 5: Solve for x
    x = 188,752.65/359.56
  6. Step 6: Final answer
    x = 524.95

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.