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Finding the Fourth Proportional to 292.20, 437.18 and 226.70

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Solution

The fourth proportional to 292.20, 437.18 and 226.70 is: 339.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    292.20 : 437.18 = 226.70 : x
  2. Step 2: Convert to fraction form
    292.20/437.18 = 226.70/x
  3. Step 3: Cross multiply
    292.20x = 437.18 × 226.70
  4. Step 4: Simplify right side
    292.20x = 99,108.71
  5. Step 5: Solve for x
    x = 99,108.71/292.20
  6. Step 6: Final answer
    x = 339.18

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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.