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Finding the Fourth Proportional to 178.49, 266.14 and 175.25

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Solution

The fourth proportional to 178.49, 266.14 and 175.25 is: 261.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    178.49 : 266.14 = 175.25 : x
  2. Step 2: Convert to fraction form
    178.49/266.14 = 175.25/x
  3. Step 3: Cross multiply
    178.49x = 266.14 × 175.25
  4. Step 4: Simplify right side
    178.49x = 46,640.16
  5. Step 5: Solve for x
    x = 46,640.16/178.49
  6. Step 6: Final answer
    x = 261.30

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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.