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Finding the Fourth Proportional to 359.52, 536.88 and 322.80

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Solution

The fourth proportional to 359.52, 536.88 and 322.80 is: 482.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.52 : 536.88 = 322.80 : x
  2. Step 2: Convert to fraction form
    359.52/536.88 = 322.80/x
  3. Step 3: Cross multiply
    359.52x = 536.88 × 322.80
  4. Step 4: Simplify right side
    359.52x = 173,304.86
  5. Step 5: Solve for x
    x = 173,304.86/359.52
  6. Step 6: Final answer
    x = 482.05

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.