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Finding the Fourth Proportional to 216.76, 298.80 and 154.38

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Solution

The fourth proportional to 216.76, 298.80 and 154.38 is: 212.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.76 : 298.80 = 154.38 : x
  2. Step 2: Convert to fraction form
    216.76/298.80 = 154.38/x
  3. Step 3: Cross multiply
    216.76x = 298.80 × 154.38
  4. Step 4: Simplify right side
    216.76x = 46,128.74
  5. Step 5: Solve for x
    x = 46,128.74/216.76
  6. Step 6: Final answer
    x = 212.81

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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.