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Finding the Fourth Proportional to 400.63, 601.03 and 144.13

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Solution

The fourth proportional to 400.63, 601.03 and 144.13 is: 216.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    400.63 : 601.03 = 144.13 : x
  2. Step 2: Convert to fraction form
    400.63/601.03 = 144.13/x
  3. Step 3: Cross multiply
    400.63x = 601.03 × 144.13
  4. Step 4: Simplify right side
    400.63x = 86,626.45
  5. Step 5: Solve for x
    x = 86,626.45/400.63
  6. Step 6: Final answer
    x = 216.23

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