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Finding the Fourth Proportional to 178.29, 265.65 and 170.43

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Solution

The fourth proportional to 178.29, 265.65 and 170.43 is: 253.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.29 : 265.65 = 170.43 : x
  2. Step 2: Convert to fraction form
    178.29/265.65 = 170.43/x
  3. Step 3: Cross multiply
    178.29x = 265.65 × 170.43
  4. Step 4: Simplify right side
    178.29x = 45,274.05
  5. Step 5: Solve for x
    x = 45,274.05/178.29
  6. Step 6: Final answer
    x = 253.93

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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.