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Finding the Fourth Proportional to 490.71, 736.19 and 144.06

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Solution

The fourth proportional to 490.71, 736.19 and 144.06 is: 216.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    490.71 : 736.19 = 144.06 : x
  2. Step 2: Convert to fraction form
    490.71/736.19 = 144.06/x
  3. Step 3: Cross multiply
    490.71x = 736.19 × 144.06
  4. Step 4: Simplify right side
    490.71x = 106,054.81
  5. Step 5: Solve for x
    x = 106,054.81/490.71
  6. Step 6: Final answer
    x = 216.13

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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.