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Finding the Fourth Proportional to 176.96, 264.41 and 140.51

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Solution

The fourth proportional to 176.96, 264.41 and 140.51 is: 209.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    176.96 : 264.41 = 140.51 : x
  2. Step 2: Convert to fraction form
    176.96/264.41 = 140.51/x
  3. Step 3: Cross multiply
    176.96x = 264.41 × 140.51
  4. Step 4: Simplify right side
    176.96x = 37,152.25
  5. Step 5: Solve for x
    x = 37,152.25/176.96
  6. Step 6: Final answer
    x = 209.95

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.