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Finding the Fourth Proportional to 237.77, 354.72 and 231.16

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Solution

The fourth proportional to 237.77, 354.72 and 231.16 is: 344.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    237.77 : 354.72 = 231.16 : x
  2. Step 2: Convert to fraction form
    237.77/354.72 = 231.16/x
  3. Step 3: Cross multiply
    237.77x = 354.72 × 231.16
  4. Step 4: Simplify right side
    237.77x = 81,995.32
  5. Step 5: Solve for x
    x = 81,995.32/237.77
  6. Step 6: Final answer
    x = 344.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.