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Finding the Fourth Proportional to 414.51, 571.01 and 340.80

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Solution

The fourth proportional to 414.51, 571.01 and 340.80 is: 469.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    414.51 : 571.01 = 340.80 : x
  2. Step 2: Convert to fraction form
    414.51/571.01 = 340.80/x
  3. Step 3: Cross multiply
    414.51x = 571.01 × 340.80
  4. Step 4: Simplify right side
    414.51x = 194,600.21
  5. Step 5: Solve for x
    x = 194,600.21/414.51
  6. Step 6: Final answer
    x = 469.47

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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.