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Finding the Fourth Proportional to 359.64, 536.54 and 320.43

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Solution

The fourth proportional to 359.64, 536.54 and 320.43 is: 478.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.64 : 536.54 = 320.43 : x
  2. Step 2: Convert to fraction form
    359.64/536.54 = 320.43/x
  3. Step 3: Cross multiply
    359.64x = 536.54 × 320.43
  4. Step 4: Simplify right side
    359.64x = 171,921.91
  5. Step 5: Solve for x
    x = 171,921.91/359.64
  6. Step 6: Final answer
    x = 478.04

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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.