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Finding the Fourth Proportional to 470.07, 648.27 and 320.42

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Solution

The fourth proportional to 470.07, 648.27 and 320.42 is: 441.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.07 : 648.27 = 320.42 : x
  2. Step 2: Convert to fraction form
    470.07/648.27 = 320.42/x
  3. Step 3: Cross multiply
    470.07x = 648.27 × 320.42
  4. Step 4: Simplify right side
    470.07x = 207,720.29
  5. Step 5: Solve for x
    x = 207,720.29/470.07
  6. Step 6: Final answer
    x = 441.89

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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.