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Finding the Fourth Proportional to 223.20, 307.17 and 202.50

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Solution

The fourth proportional to 223.20, 307.17 and 202.50 is: 278.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.20 : 307.17 = 202.50 : x
  2. Step 2: Convert to fraction form
    223.20/307.17 = 202.50/x
  3. Step 3: Cross multiply
    223.20x = 307.17 × 202.50
  4. Step 4: Simplify right side
    223.20x = 62,201.93
  5. Step 5: Solve for x
    x = 62,201.93/223.20
  6. Step 6: Final answer
    x = 278.68

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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.