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Finding the Fourth Proportional to 153.79, 212.23 and 83.85

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Solution

The fourth proportional to 153.79, 212.23 and 83.85 is: 115.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    153.79 : 212.23 = 83.85 : x
  2. Step 2: Convert to fraction form
    153.79/212.23 = 83.85/x
  3. Step 3: Cross multiply
    153.79x = 212.23 × 83.85
  4. Step 4: Simplify right side
    153.79x = 17,796.07
  5. Step 5: Solve for x
    x = 17,796.07/153.79
  6. Step 6: Final answer
    x = 115.72

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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.