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Finding the Fourth Proportional to 359.08, 537.24 and 318.04

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Solution

The fourth proportional to 359.08, 537.24 and 318.04 is: 475.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.08 : 537.24 = 318.04 : x
  2. Step 2: Convert to fraction form
    359.08/537.24 = 318.04/x
  3. Step 3: Cross multiply
    359.08x = 537.24 × 318.04
  4. Step 4: Simplify right side
    359.08x = 170,863.81
  5. Step 5: Solve for x
    x = 170,863.81/359.08
  6. Step 6: Final answer
    x = 475.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.