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Finding the Fourth Proportional to 359.43, 536.64 and 310.62

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Solution

The fourth proportional to 359.43, 536.64 and 310.62 is: 463.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.43 : 536.64 = 310.62 : x
  2. Step 2: Convert to fraction form
    359.43/536.64 = 310.62/x
  3. Step 3: Cross multiply
    359.43x = 536.64 × 310.62
  4. Step 4: Simplify right side
    359.43x = 166,691.12
  5. Step 5: Solve for x
    x = 166,691.12/359.43
  6. Step 6: Final answer
    x = 463.77

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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.