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Finding the Fourth Proportional to 152.70, 227.64 and 151.08

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Solution

The fourth proportional to 152.70, 227.64 and 151.08 is: 225.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    152.70 : 227.64 = 151.08 : x
  2. Step 2: Convert to fraction form
    152.70/227.64 = 151.08/x
  3. Step 3: Cross multiply
    152.70x = 227.64 × 151.08
  4. Step 4: Simplify right side
    152.70x = 34,391.85
  5. Step 5: Solve for x
    x = 34,391.85/152.70
  6. Step 6: Final answer
    x = 225.22

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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.