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Finding the Fourth Proportional to 154.46, 213.06 and 117.54

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Solution

The fourth proportional to 154.46, 213.06 and 117.54 is: 162.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    154.46 : 213.06 = 117.54 : x
  2. Step 2: Convert to fraction form
    154.46/213.06 = 117.54/x
  3. Step 3: Cross multiply
    154.46x = 213.06 × 117.54
  4. Step 4: Simplify right side
    154.46x = 25,043.07
  5. Step 5: Solve for x
    x = 25,043.07/154.46
  6. Step 6: Final answer
    x = 162.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.