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Finding the Fourth Proportional to 296.19, 410.85 and 280.62

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Solution

The fourth proportional to 296.19, 410.85 and 280.62 is: 389.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.19 : 410.85 = 280.62 : x
  2. Step 2: Convert to fraction form
    296.19/410.85 = 280.62/x
  3. Step 3: Cross multiply
    296.19x = 410.85 × 280.62
  4. Step 4: Simplify right side
    296.19x = 115,289.27
  5. Step 5: Solve for x
    x = 115,289.27/296.19
  6. Step 6: Final answer
    x = 389.25

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.