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Finding the Fourth Proportional to 402.16, 603.60 and 209.92

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Solution

The fourth proportional to 402.16, 603.60 and 209.92 is: 315.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    402.16 : 603.60 = 209.92 : x
  2. Step 2: Convert to fraction form
    402.16/603.60 = 209.92/x
  3. Step 3: Cross multiply
    402.16x = 603.60 × 209.92
  4. Step 4: Simplify right side
    402.16x = 126,707.71
  5. Step 5: Solve for x
    x = 126,707.71/402.16
  6. Step 6: Final answer
    x = 315.07

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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.