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Finding the Fourth Proportional to 359.48, 537.60 and 291.44

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Solution

The fourth proportional to 359.48, 537.60 and 291.44 is: 435.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.48 : 537.60 = 291.44 : x
  2. Step 2: Convert to fraction form
    359.48/537.60 = 291.44/x
  3. Step 3: Cross multiply
    359.48x = 537.60 × 291.44
  4. Step 4: Simplify right side
    359.48x = 156,678.14
  5. Step 5: Solve for x
    x = 156,678.14/359.48
  6. Step 6: Final answer
    x = 435.85

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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.