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Finding the Fourth Proportional to 359.84, 496.16 and 280.96

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Solution

The fourth proportional to 359.84, 496.16 and 280.96 is: 387.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    359.84 : 496.16 = 280.96 : x
  2. Step 2: Convert to fraction form
    359.84/496.16 = 280.96/x
  3. Step 3: Cross multiply
    359.84x = 496.16 × 280.96
  4. Step 4: Simplify right side
    359.84x = 139,401.11
  5. Step 5: Solve for x
    x = 139,401.11/359.84
  6. Step 6: Final answer
    x = 387.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.