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Finding the Fourth Proportional to 469.90, 648.34 and 270.79

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Solution

The fourth proportional to 469.90, 648.34 and 270.79 is: 373.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    469.90 : 648.34 = 270.79 : x
  2. Step 2: Convert to fraction form
    469.90/648.34 = 270.79/x
  3. Step 3: Cross multiply
    469.90x = 648.34 × 270.79
  4. Step 4: Simplify right side
    469.90x = 175,562.71
  5. Step 5: Solve for x
    x = 175,562.71/469.90
  6. Step 6: Final answer
    x = 373.62

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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.