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Finding the Fourth Proportional to 372.09, 557.82 and 176.98

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Solution

The fourth proportional to 372.09, 557.82 and 176.98 is: 265.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.09 : 557.82 = 176.98 : x
  2. Step 2: Convert to fraction form
    372.09/557.82 = 176.98/x
  3. Step 3: Cross multiply
    372.09x = 557.82 × 176.98
  4. Step 4: Simplify right side
    372.09x = 98,722.98
  5. Step 5: Solve for x
    x = 98,722.98/372.09
  6. Step 6: Final answer
    x = 265.32

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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.