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Finding the Fourth Proportional to 123.40, 178.75 and 123.40

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Solution

The fourth proportional to 123.40, 178.75 and 123.40 is: 178.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    123.40 : 178.75 = 123.40 : x
  2. Step 2: Convert to fraction form
    123.40/178.75 = 123.40/x
  3. Step 3: Cross multiply
    123.40x = 178.75 × 123.40
  4. Step 4: Simplify right side
    123.40x = 22,057.75
  5. Step 5: Solve for x
    x = 22,057.75/123.40
  6. Step 6: Final answer
    x = 178.75

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Why These Related Problems?

These problems maintain the same ratio (1.45) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.