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Finding the Fourth Proportional to 154.90, 212.86 and 147.76

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Solution

The fourth proportional to 154.90, 212.86 and 147.76 is: 203.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.90 : 212.86 = 147.76 : x
  2. Step 2: Convert to fraction form
    154.90/212.86 = 147.76/x
  3. Step 3: Cross multiply
    154.90x = 212.86 × 147.76
  4. Step 4: Simplify right side
    154.90x = 31,452.19
  5. Step 5: Solve for x
    x = 31,452.19/154.90
  6. Step 6: Final answer
    x = 203.05

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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.