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Finding the Fourth Proportional to 470.31, 649.03 and 283.76

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Solution

The fourth proportional to 470.31, 649.03 and 283.76 is: 391.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.31 : 649.03 = 283.76 : x
  2. Step 2: Convert to fraction form
    470.31/649.03 = 283.76/x
  3. Step 3: Cross multiply
    470.31x = 649.03 × 283.76
  4. Step 4: Simplify right side
    470.31x = 184,169.59
  5. Step 5: Solve for x
    x = 184,169.59/470.31
  6. Step 6: Final answer
    x = 391.60

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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.