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Finding the Fourth Proportional to 242.52, 334.51 and 171.51

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Solution

The fourth proportional to 242.52, 334.51 and 171.51 is: 236.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    242.52 : 334.51 = 171.51 : x
  2. Step 2: Convert to fraction form
    242.52/334.51 = 171.51/x
  3. Step 3: Cross multiply
    242.52x = 334.51 × 171.51
  4. Step 4: Simplify right side
    242.52x = 57,370.95
  5. Step 5: Solve for x
    x = 57,370.95/242.52
  6. Step 6: Final answer
    x = 236.56

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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.