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Finding the Fourth Proportional to 178.34, 265.58 and 173.75

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Solution

The fourth proportional to 178.34, 265.58 and 173.75 is: 258.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.34 : 265.58 = 173.75 : x
  2. Step 2: Convert to fraction form
    178.34/265.58 = 173.75/x
  3. Step 3: Cross multiply
    178.34x = 265.58 × 173.75
  4. Step 4: Simplify right side
    178.34x = 46,142.98
  5. Step 5: Solve for x
    x = 46,142.98/178.34
  6. Step 6: Final answer
    x = 258.74

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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.