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Finding the Fourth Proportional to 154.09, 212.49 and 101.64

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Solution

The fourth proportional to 154.09, 212.49 and 101.64 is: 140.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.09 : 212.49 = 101.64 : x
  2. Step 2: Convert to fraction form
    154.09/212.49 = 101.64/x
  3. Step 3: Cross multiply
    154.09x = 212.49 × 101.64
  4. Step 4: Simplify right side
    154.09x = 21,597.48
  5. Step 5: Solve for x
    x = 21,597.48/154.09
  6. Step 6: Final answer
    x = 140.16

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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.