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Finding the Fourth Proportional to 401, 601.80 and 144.50

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Solution

The fourth proportional to 401, 601.80 and 144.50 is: 216.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    401 : 601.80 = 144.50 : x
  2. Step 2: Convert to fraction form
    401/601.80 = 144.50/x
  3. Step 3: Cross multiply
    401x = 601.80 × 144.50
  4. Step 4: Simplify right side
    401x = 86,960.10
  5. Step 5: Solve for x
    x = 86,960.10/401
  6. Step 6: Final answer
    x = 216.86

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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.