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Finding the Fourth Proportional to 224.02, 335.89 and 86.98

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Solution

The fourth proportional to 224.02, 335.89 and 86.98 is: 130.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    224.02 : 335.89 = 86.98 : x
  2. Step 2: Convert to fraction form
    224.02/335.89 = 86.98/x
  3. Step 3: Cross multiply
    224.02x = 335.89 × 86.98
  4. Step 4: Simplify right side
    224.02x = 29,215.71
  5. Step 5: Solve for x
    x = 29,215.71/224.02
  6. Step 6: Final answer
    x = 130.42

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.