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Finding the Fourth Proportional to 252.12, 346.07 and 223.87

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Solution

The fourth proportional to 252.12, 346.07 and 223.87 is: 307.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    252.12 : 346.07 = 223.87 : x
  2. Step 2: Convert to fraction form
    252.12/346.07 = 223.87/x
  3. Step 3: Cross multiply
    252.12x = 346.07 × 223.87
  4. Step 4: Simplify right side
    252.12x = 77,472.71
  5. Step 5: Solve for x
    x = 77,472.71/252.12
  6. Step 6: Final answer
    x = 307.29

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.