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Finding the Fourth Proportional to 372.12, 557.64 and 209.76

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Solution

The fourth proportional to 372.12, 557.64 and 209.76 is: 314.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.12 : 557.64 = 209.76 : x
  2. Step 2: Convert to fraction form
    372.12/557.64 = 209.76/x
  3. Step 3: Cross multiply
    372.12x = 557.64 × 209.76
  4. Step 4: Simplify right side
    372.12x = 116,970.57
  5. Step 5: Solve for x
    x = 116,970.57/372.12
  6. Step 6: Final answer
    x = 314.34

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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.