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Finding the Fourth Proportional to 470.26, 648.96 and 257.57

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Solution

The fourth proportional to 470.26, 648.96 and 257.57 is: 355.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.26 : 648.96 = 257.57 : x
  2. Step 2: Convert to fraction form
    470.26/648.96 = 257.57/x
  3. Step 3: Cross multiply
    470.26x = 648.96 × 257.57
  4. Step 4: Simplify right side
    470.26x = 167,152.63
  5. Step 5: Solve for x
    x = 167,152.63/470.26
  6. Step 6: Final answer
    x = 355.45

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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.