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Finding the Fourth Proportional to 222.50, 307.07 and 124.29

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Solution

The fourth proportional to 222.50, 307.07 and 124.29 is: 171.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    222.50 : 307.07 = 124.29 : x
  2. Step 2: Convert to fraction form
    222.50/307.07 = 124.29/x
  3. Step 3: Cross multiply
    222.50x = 307.07 × 124.29
  4. Step 4: Simplify right side
    222.50x = 38,165.73
  5. Step 5: Solve for x
    x = 38,165.73/222.50
  6. Step 6: Final answer
    x = 171.53

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.