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Finding the Fourth Proportional to 189.77, 261.53 and 154.68

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Solution

The fourth proportional to 189.77, 261.53 and 154.68 is: 213.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.77 : 261.53 = 154.68 : x
  2. Step 2: Convert to fraction form
    189.77/261.53 = 154.68/x
  3. Step 3: Cross multiply
    189.77x = 261.53 × 154.68
  4. Step 4: Simplify right side
    189.77x = 40,454.49
  5. Step 5: Solve for x
    x = 40,454.49/189.77
  6. Step 6: Final answer
    x = 213.18

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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.