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Finding the Fourth Proportional to 154.37, 232.86 and 149.51

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Solution

The fourth proportional to 154.37, 232.86 and 149.51 is: 225.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.37 : 232.86 = 149.51 : x
  2. Step 2: Convert to fraction form
    154.37/232.86 = 149.51/x
  3. Step 3: Cross multiply
    154.37x = 232.86 × 149.51
  4. Step 4: Simplify right side
    154.37x = 34,814.90
  5. Step 5: Solve for x
    x = 34,814.90/154.37
  6. Step 6: Final answer
    x = 225.53

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.