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Finding the Fourth Proportional to 588.21, 811.80 and 355.38

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Solution

The fourth proportional to 588.21, 811.80 and 355.38 is: 490.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.21 : 811.80 = 355.38 : x
  2. Step 2: Convert to fraction form
    588.21/811.80 = 355.38/x
  3. Step 3: Cross multiply
    588.21x = 811.80 × 355.38
  4. Step 4: Simplify right side
    588.21x = 288,497.48
  5. Step 5: Solve for x
    x = 288,497.48/588.21
  6. Step 6: Final answer
    x = 490.47

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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.