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Finding the Fourth Proportional to 390.88, 588.62 and 340.13

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Solution

The fourth proportional to 390.88, 588.62 and 340.13 is: 512.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    390.88 : 588.62 = 340.13 : x
  2. Step 2: Convert to fraction form
    390.88/588.62 = 340.13/x
  3. Step 3: Cross multiply
    390.88x = 588.62 × 340.13
  4. Step 4: Simplify right side
    390.88x = 200,206.68
  5. Step 5: Solve for x
    x = 200,206.68/390.88
  6. Step 6: Final answer
    x = 512.20

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.