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Finding the Fourth Proportional to 470.08, 648.71 and 257.40

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Solution

The fourth proportional to 470.08, 648.71 and 257.40 is: 355.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.08 : 648.71 = 257.40 : x
  2. Step 2: Convert to fraction form
    470.08/648.71 = 257.40/x
  3. Step 3: Cross multiply
    470.08x = 648.71 × 257.40
  4. Step 4: Simplify right side
    470.08x = 166,977.95
  5. Step 5: Solve for x
    x = 166,977.95/470.08
  6. Step 6: Final answer
    x = 355.21

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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.