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Finding the Fourth Proportional to 470.51, 649.31 and 260.69

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Solution

The fourth proportional to 470.51, 649.31 and 260.69 is: 359.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    470.51 : 649.31 = 260.69 : x
  2. Step 2: Convert to fraction form
    470.51/649.31 = 260.69/x
  3. Step 3: Cross multiply
    470.51x = 649.31 × 260.69
  4. Step 4: Simplify right side
    470.51x = 169,268.62
  5. Step 5: Solve for x
    x = 169,268.62/470.51
  6. Step 6: Final answer
    x = 359.76

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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.