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Finding the Fourth Proportional to 154.25, 212.80 and 101.81

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Solution

The fourth proportional to 154.25, 212.80 and 101.81 is: 140.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.25 : 212.80 = 101.81 : x
  2. Step 2: Convert to fraction form
    154.25/212.80 = 101.81/x
  3. Step 3: Cross multiply
    154.25x = 212.80 × 101.81
  4. Step 4: Simplify right side
    154.25x = 21,665.17
  5. Step 5: Solve for x
    x = 21,665.17/154.25
  6. Step 6: Final answer
    x = 140.45

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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.