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Finding the Fourth Proportional to 129.18, 192.75 and 116.25

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Solution

The fourth proportional to 129.18, 192.75 and 116.25 is: 173.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    129.18 : 192.75 = 116.25 : x
  2. Step 2: Convert to fraction form
    129.18/192.75 = 116.25/x
  3. Step 3: Cross multiply
    129.18x = 192.75 × 116.25
  4. Step 4: Simplify right side
    129.18x = 22,407.11
  5. Step 5: Solve for x
    x = 22,407.11/129.18
  6. Step 6: Final answer
    x = 173.46

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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.