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Finding the Fourth Proportional to 216.77, 298.71 and 154.49

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Solution

The fourth proportional to 216.77, 298.71 and 154.49 is: 212.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    216.77 : 298.71 = 154.49 : x
  2. Step 2: Convert to fraction form
    216.77/298.71 = 154.49/x
  3. Step 3: Cross multiply
    216.77x = 298.71 × 154.49
  4. Step 4: Simplify right side
    216.77x = 46,147.71
  5. Step 5: Solve for x
    x = 46,147.71/216.77
  6. Step 6: Final answer
    x = 212.89

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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.