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Finding the Fourth Proportional to 470.19, 648.44 and 304.23

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Solution

The fourth proportional to 470.19, 648.44 and 304.23 is: 419.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.19 : 648.44 = 304.23 : x
  2. Step 2: Convert to fraction form
    470.19/648.44 = 304.23/x
  3. Step 3: Cross multiply
    470.19x = 648.44 × 304.23
  4. Step 4: Simplify right side
    470.19x = 197,273.31
  5. Step 5: Solve for x
    x = 197,273.31/470.19
  6. Step 6: Final answer
    x = 419.56

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Double scale
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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.