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Finding the Fourth Proportional to 155.05, 230.80 and 152.74

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Solution

The fourth proportional to 155.05, 230.80 and 152.74 is: 227.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.05 : 230.80 = 152.74 : x
  2. Step 2: Convert to fraction form
    155.05/230.80 = 152.74/x
  3. Step 3: Cross multiply
    155.05x = 230.80 × 152.74
  4. Step 4: Simplify right side
    155.05x = 35,253.35
  5. Step 5: Solve for x
    x = 35,253.35/155.05
  6. Step 6: Final answer
    x = 227.37

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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.