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Finding the Fourth Proportional to 470.25, 648.80 and 283.80

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Solution

The fourth proportional to 470.25, 648.80 and 283.80 is: 391.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.25 : 648.80 = 283.80 : x
  2. Step 2: Convert to fraction form
    470.25/648.80 = 283.80/x
  3. Step 3: Cross multiply
    470.25x = 648.80 × 283.80
  4. Step 4: Simplify right side
    470.25x = 184,128.02
  5. Step 5: Solve for x
    x = 184,128.02/470.25
  6. Step 6: Final answer
    x = 391.55

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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.