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Finding the Fourth Proportional to 153.75, 212.19 and 84.75

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Solution

The fourth proportional to 153.75, 212.19 and 84.75 is: 116.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.75 : 212.19 = 84.75 : x
  2. Step 2: Convert to fraction form
    153.75/212.19 = 84.75/x
  3. Step 3: Cross multiply
    153.75x = 212.19 × 84.75
  4. Step 4: Simplify right side
    153.75x = 17,983.10
  5. Step 5: Solve for x
    x = 17,983.10/153.75
  6. Step 6: Final answer
    x = 116.96

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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.