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Finding the Fourth Proportional to 154.44, 211.68 and 147.96

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Solution

The fourth proportional to 154.44, 211.68 and 147.96 is: 202.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.44 : 211.68 = 147.96 : x
  2. Step 2: Convert to fraction form
    154.44/211.68 = 147.96/x
  3. Step 3: Cross multiply
    154.44x = 211.68 × 147.96
  4. Step 4: Simplify right side
    154.44x = 31,320.17
  5. Step 5: Solve for x
    x = 31,320.17/154.44
  6. Step 6: Final answer
    x = 202.80

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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.