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Finding the Fourth Proportional to 154.93, 212.40 and 147.75

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Solution

The fourth proportional to 154.93, 212.40 and 147.75 is: 202.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.93 : 212.40 = 147.75 : x
  2. Step 2: Convert to fraction form
    154.93/212.40 = 147.75/x
  3. Step 3: Cross multiply
    154.93x = 212.40 × 147.75
  4. Step 4: Simplify right side
    154.93x = 31,382.10
  5. Step 5: Solve for x
    x = 31,382.10/154.93
  6. Step 6: Final answer
    x = 202.56

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.