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Finding the Fourth Proportional to 588.21, 811.55 and 339.50

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Solution

The fourth proportional to 588.21, 811.55 and 339.50 is: 468.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    588.21 : 811.55 = 339.50 : x
  2. Step 2: Convert to fraction form
    588.21/811.55 = 339.50/x
  3. Step 3: Cross multiply
    588.21x = 811.55 × 339.50
  4. Step 4: Simplify right side
    588.21x = 275,521.23
  5. Step 5: Solve for x
    x = 275,521.23/588.21
  6. Step 6: Final answer
    x = 468.41

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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.