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Finding the Fourth Proportional to 154.18, 232.36 and 145.06

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Solution

The fourth proportional to 154.18, 232.36 and 145.06 is: 218.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.18 : 232.36 = 145.06 : x
  2. Step 2: Convert to fraction form
    154.18/232.36 = 145.06/x
  3. Step 3: Cross multiply
    154.18x = 232.36 × 145.06
  4. Step 4: Simplify right side
    154.18x = 33,706.14
  5. Step 5: Solve for x
    x = 33,706.14/154.18
  6. Step 6: Final answer
    x = 218.62

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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.