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Finding the Fourth Proportional to 154.02, 212.43 and 144.57

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Solution

The fourth proportional to 154.02, 212.43 and 144.57 is: 199.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.02 : 212.43 = 144.57 : x
  2. Step 2: Convert to fraction form
    154.02/212.43 = 144.57/x
  3. Step 3: Cross multiply
    154.02x = 212.43 × 144.57
  4. Step 4: Simplify right side
    154.02x = 30,711.01
  5. Step 5: Solve for x
    x = 30,711.01/154.02
  6. Step 6: Final answer
    x = 199.40

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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.