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Finding the Fourth Proportional to 296.32, 408.72 and 209.02

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Solution

The fourth proportional to 296.32, 408.72 and 209.02 is: 288.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    296.32 : 408.72 = 209.02 : x
  2. Step 2: Convert to fraction form
    296.32/408.72 = 209.02/x
  3. Step 3: Cross multiply
    296.32x = 408.72 × 209.02
  4. Step 4: Simplify right side
    296.32x = 85,430.65
  5. Step 5: Solve for x
    x = 85,430.65/296.32
  6. Step 6: Final answer
    x = 288.31

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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.