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Finding the Fourth Proportional to 340.39, 470.00 and 261.58

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Solution

The fourth proportional to 340.39, 470.00 and 261.58 is: 361.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.39 : 470.00 = 261.58 : x
  2. Step 2: Convert to fraction form
    340.39/470.00 = 261.58/x
  3. Step 3: Cross multiply
    340.39x = 470.00 × 261.58
  4. Step 4: Simplify right side
    340.39x = 122,942.47
  5. Step 5: Solve for x
    x = 122,942.47/340.39
  6. Step 6: Final answer
    x = 361.18

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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.