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Finding the Fourth Proportional to 189.34, 261.14 and 133.51

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Solution

The fourth proportional to 189.34, 261.14 and 133.51 is: 184.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    189.34 : 261.14 = 133.51 : x
  2. Step 2: Convert to fraction form
    189.34/261.14 = 133.51/x
  3. Step 3: Cross multiply
    189.34x = 261.14 × 133.51
  4. Step 4: Simplify right side
    189.34x = 34,864.13
  5. Step 5: Solve for x
    x = 34,864.13/189.34
  6. Step 6: Final answer
    x = 184.14

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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.