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Finding the Fourth Proportional to 176.10, 243.02 and 116.98

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Solution

The fourth proportional to 176.10, 243.02 and 116.98 is: 161.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.10 : 243.02 = 116.98 : x
  2. Step 2: Convert to fraction form
    176.10/243.02 = 116.98/x
  3. Step 3: Cross multiply
    176.10x = 243.02 × 116.98
  4. Step 4: Simplify right side
    176.10x = 28,427.26
  5. Step 5: Solve for x
    x = 28,427.26/176.10
  6. Step 6: Final answer
    x = 161.43

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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.