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Finding the Fourth Proportional to 219.77, 328.26 and 187.11

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Solution

The fourth proportional to 219.77, 328.26 and 187.11 is: 279.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    219.77 : 328.26 = 187.11 : x
  2. Step 2: Convert to fraction form
    219.77/328.26 = 187.11/x
  3. Step 3: Cross multiply
    219.77x = 328.26 × 187.11
  4. Step 4: Simplify right side
    219.77x = 61,420.73
  5. Step 5: Solve for x
    x = 61,420.73/219.77
  6. Step 6: Final answer
    x = 279.48

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.