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Finding the Fourth Proportional to 401.39, 601.41 and 157.77

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Solution

The fourth proportional to 401.39, 601.41 and 157.77 is: 236.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    401.39 : 601.41 = 157.77 : x
  2. Step 2: Convert to fraction form
    401.39/601.41 = 157.77/x
  3. Step 3: Cross multiply
    401.39x = 601.41 × 157.77
  4. Step 4: Simplify right side
    401.39x = 94,884.46
  5. Step 5: Solve for x
    x = 94,884.46/401.39
  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.