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Finding the Fourth Proportional to 160.98, 222.14 and 102.76

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Solution

The fourth proportional to 160.98, 222.14 and 102.76 is: 141.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    160.98 : 222.14 = 102.76 : x
  2. Step 2: Convert to fraction form
    160.98/222.14 = 102.76/x
  3. Step 3: Cross multiply
    160.98x = 222.14 × 102.76
  4. Step 4: Simplify right side
    160.98x = 22,827.11
  5. Step 5: Solve for x
    x = 22,827.11/160.98
  6. Step 6: Final answer
    x = 141.80

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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.