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Finding the Fourth Proportional to 401.11, 601.40 and 157.66

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Solution

The fourth proportional to 401.11, 601.40 and 157.66 is: 236.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.11 : 601.40 = 157.66 : x
  2. Step 2: Convert to fraction form
    401.11/601.40 = 157.66/x
  3. Step 3: Cross multiply
    401.11x = 601.40 × 157.66
  4. Step 4: Simplify right side
    401.11x = 94,816.56
  5. Step 5: Solve for x
    x = 94,816.56/401.11
  6. Step 6: Final answer
    x = 236.39

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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.