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Finding the Fourth Proportional to 178.51, 265.86 and 168.04

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Solution

The fourth proportional to 178.51, 265.86 and 168.04 is: 250.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.51 : 265.86 = 168.04 : x
  2. Step 2: Convert to fraction form
    178.51/265.86 = 168.04/x
  3. Step 3: Cross multiply
    178.51x = 265.86 × 168.04
  4. Step 4: Simplify right side
    178.51x = 44,672.94
  5. Step 5: Solve for x
    x = 44,672.94/178.51
  6. Step 6: Final answer
    x = 250.26

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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.