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Finding the Fourth Proportional to 216.46, 298.28 and 154.18

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Solution

The fourth proportional to 216.46, 298.28 and 154.18 is: 212.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.46 : 298.28 = 154.18 : x
  2. Step 2: Convert to fraction form
    216.46/298.28 = 154.18/x
  3. Step 3: Cross multiply
    216.46x = 298.28 × 154.18
  4. Step 4: Simplify right side
    216.46x = 45,987.13
  5. Step 5: Solve for x
    x = 45,987.13/216.46
  6. Step 6: Final answer
    x = 212.46

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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.