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Finding the Fourth Proportional to 178.32, 265.56 and 174.09

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Solution

The fourth proportional to 178.32, 265.56 and 174.09 is: 259.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.32 : 265.56 = 174.09 : x
  2. Step 2: Convert to fraction form
    178.32/265.56 = 174.09/x
  3. Step 3: Cross multiply
    178.32x = 265.56 × 174.09
  4. Step 4: Simplify right side
    178.32x = 46,231.34
  5. Step 5: Solve for x
    x = 46,231.34/178.32
  6. Step 6: Final answer
    x = 259.26

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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.