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Finding the Fourth Proportional to 372.06, 557.66 and 234.90

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Solution

The fourth proportional to 372.06, 557.66 and 234.90 is: 352.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.06 : 557.66 = 234.90 : x
  2. Step 2: Convert to fraction form
    372.06/557.66 = 234.90/x
  3. Step 3: Cross multiply
    372.06x = 557.66 × 234.90
  4. Step 4: Simplify right side
    372.06x = 130,993.16
  5. Step 5: Solve for x
    x = 130,993.16/372.06
  6. Step 6: Final answer
    x = 352.08

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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.