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Finding the Fourth Proportional to 541.34, 746.98 and 320.21

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Solution

The fourth proportional to 541.34, 746.98 and 320.21 is: 441.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.34 : 746.98 = 320.21 : x
  2. Step 2: Convert to fraction form
    541.34/746.98 = 320.21/x
  3. Step 3: Cross multiply
    541.34x = 746.98 × 320.21
  4. Step 4: Simplify right side
    541.34x = 239,190.47
  5. Step 5: Solve for x
    x = 239,190.47/541.34
  6. Step 6: Final answer
    x = 441.85

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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.