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Finding the Fourth Proportional to 313.52, 432.66 and 182.54

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Solution

The fourth proportional to 313.52, 432.66 and 182.54 is: 251.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.52 : 432.66 = 182.54 : x
  2. Step 2: Convert to fraction form
    313.52/432.66 = 182.54/x
  3. Step 3: Cross multiply
    313.52x = 432.66 × 182.54
  4. Step 4: Simplify right side
    313.52x = 78,977.76
  5. Step 5: Solve for x
    x = 78,977.76/313.52
  6. Step 6: Final answer
    x = 251.91

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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.