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Finding the Fourth Proportional to 359.16, 536.45 and 320.84

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Solution

The fourth proportional to 359.16, 536.45 and 320.84 is: 479.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.16 : 536.45 = 320.84 : x
  2. Step 2: Convert to fraction form
    359.16/536.45 = 320.84/x
  3. Step 3: Cross multiply
    359.16x = 536.45 × 320.84
  4. Step 4: Simplify right side
    359.16x = 172,114.62
  5. Step 5: Solve for x
    x = 172,114.62/359.16
  6. Step 6: Final answer
    x = 479.21

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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.