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Finding the Fourth Proportional to 401.20, 601.80 and 123.56

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Solution

The fourth proportional to 401.20, 601.80 and 123.56 is: 185.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.20 : 601.80 = 123.56 : x
  2. Step 2: Convert to fraction form
    401.20/601.80 = 123.56/x
  3. Step 3: Cross multiply
    401.20x = 601.80 × 123.56
  4. Step 4: Simplify right side
    401.20x = 74,358.41
  5. Step 5: Solve for x
    x = 74,358.41/401.20
  6. Step 6: Final answer
    x = 185.34

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.