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Finding the Fourth Proportional to 154.63, 232.85 and 114.34

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Solution

The fourth proportional to 154.63, 232.85 and 114.34 is: 172.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.63 : 232.85 = 114.34 : x
  2. Step 2: Convert to fraction form
    154.63/232.85 = 114.34/x
  3. Step 3: Cross multiply
    154.63x = 232.85 × 114.34
  4. Step 4: Simplify right side
    154.63x = 26,622.33
  5. Step 5: Solve for x
    x = 26,622.33/154.63
  6. Step 6: Final answer
    x = 172.17

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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.