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Finding the Fourth Proportional to 541.66, 747.21 and 344.83

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Solution

The fourth proportional to 541.66, 747.21 and 344.83 is: 475.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.66 : 747.21 = 344.83 : x
  2. Step 2: Convert to fraction form
    541.66/747.21 = 344.83/x
  3. Step 3: Cross multiply
    541.66x = 747.21 × 344.83
  4. Step 4: Simplify right side
    541.66x = 257,660.42
  5. Step 5: Solve for x
    x = 257,660.42/541.66
  6. Step 6: Final answer
    x = 475.69

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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.