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Finding the Fourth Proportional to 359.80, 536.82 and 320.82

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Solution

The fourth proportional to 359.80, 536.82 and 320.82 is: 478.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.80 : 536.82 = 320.82 : x
  2. Step 2: Convert to fraction form
    359.80/536.82 = 320.82/x
  3. Step 3: Cross multiply
    359.80x = 536.82 × 320.82
  4. Step 4: Simplify right side
    359.80x = 172,222.59
  5. Step 5: Solve for x
    x = 172,222.59/359.80
  6. Step 6: Final answer
    x = 478.66

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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.