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Finding the Fourth Proportional to 541.39, 811.60 and 233.08

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Solution

The fourth proportional to 541.39, 811.60 and 233.08 is: 349.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.39 : 811.60 = 233.08 : x
  2. Step 2: Convert to fraction form
    541.39/811.60 = 233.08/x
  3. Step 3: Cross multiply
    541.39x = 811.60 × 233.08
  4. Step 4: Simplify right side
    541.39x = 189,167.73
  5. Step 5: Solve for x
    x = 189,167.73/541.39
  6. Step 6: Final answer
    x = 349.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.