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Finding the Fourth Proportional to 359.83, 536.86 and 320.85

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Solution

The fourth proportional to 359.83, 536.86 and 320.85 is: 478.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.83 : 536.86 = 320.85 : x
  2. Step 2: Convert to fraction form
    359.83/536.86 = 320.85/x
  3. Step 3: Cross multiply
    359.83x = 536.86 × 320.85
  4. Step 4: Simplify right side
    359.83x = 172,249.93
  5. Step 5: Solve for x
    x = 172,249.93/359.83
  6. Step 6: Final answer
    x = 478.70

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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.