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Finding the Fourth Proportional to 178.43, 265.74 and 172.05

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Solution

The fourth proportional to 178.43, 265.74 and 172.05 is: 256.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.43 : 265.74 = 172.05 : x
  2. Step 2: Convert to fraction form
    178.43/265.74 = 172.05/x
  3. Step 3: Cross multiply
    178.43x = 265.74 × 172.05
  4. Step 4: Simplify right side
    178.43x = 45,720.57
  5. Step 5: Solve for x
    x = 45,720.57/178.43
  6. Step 6: Final answer
    x = 256.25

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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.