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Finding the Fourth Proportional to 152.20, 226.70 and 151.54

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Solution

The fourth proportional to 152.20, 226.70 and 151.54 is: 225.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.20 : 226.70 = 151.54 : x
  2. Step 2: Convert to fraction form
    152.20/226.70 = 151.54/x
  3. Step 3: Cross multiply
    152.20x = 226.70 × 151.54
  4. Step 4: Simplify right side
    152.20x = 34,354.12
  5. Step 5: Solve for x
    x = 34,354.12/152.20
  6. Step 6: Final answer
    x = 225.72

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.