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Finding the Fourth Proportional to 223.20, 306.72 and 187.20

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Solution

The fourth proportional to 223.20, 306.72 and 187.20 is: 257.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    223.20 : 306.72 = 187.20 : x
  2. Step 2: Convert to fraction form
    223.20/306.72 = 187.20/x
  3. Step 3: Cross multiply
    223.20x = 306.72 × 187.20
  4. Step 4: Simplify right side
    223.20x = 57,417.98
  5. Step 5: Solve for x
    x = 57,417.98/223.20
  6. Step 6: Final answer
    x = 257.25

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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.