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Finding the Fourth Proportional to 292.44, 437.98 and 231.15

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Solution

The fourth proportional to 292.44, 437.98 and 231.15 is: 346.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.44 : 437.98 = 231.15 : x
  2. Step 2: Convert to fraction form
    292.44/437.98 = 231.15/x
  3. Step 3: Cross multiply
    292.44x = 437.98 × 231.15
  4. Step 4: Simplify right side
    292.44x = 101,239.08
  5. Step 5: Solve for x
    x = 101,239.08/292.44
  6. Step 6: Final answer
    x = 346.19

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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.