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Finding the Fourth Proportional to 470.14, 648.80 and 260.30

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Solution

The fourth proportional to 470.14, 648.80 and 260.30 is: 359.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.14 : 648.80 = 260.30 : x
  2. Step 2: Convert to fraction form
    470.14/648.80 = 260.30/x
  3. Step 3: Cross multiply
    470.14x = 648.80 × 260.30
  4. Step 4: Simplify right side
    470.14x = 168,882.64
  5. Step 5: Solve for x
    x = 168,882.64/470.14
  6. Step 6: Final answer
    x = 359.22

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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.