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Finding the Fourth Proportional to 372.44, 557.93 and 209.63

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Solution

The fourth proportional to 372.44, 557.93 and 209.63 is: 314.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.44 : 557.93 = 209.63 : x
  2. Step 2: Convert to fraction form
    372.44/557.93 = 209.63/x
  3. Step 3: Cross multiply
    372.44x = 557.93 × 209.63
  4. Step 4: Simplify right side
    372.44x = 116,960.78
  5. Step 5: Solve for x
    x = 116,960.78/372.44
  6. Step 6: Final answer
    x = 314.04

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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.