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Finding the Fourth Proportional to 541.39, 747.26 and 320.53

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Solution

The fourth proportional to 541.39, 747.26 and 320.53 is: 442.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    541.39 : 747.26 = 320.53 : x
  2. Step 2: Convert to fraction form
    541.39/747.26 = 320.53/x
  3. Step 3: Cross multiply
    541.39x = 747.26 × 320.53
  4. Step 4: Simplify right side
    541.39x = 239,519.25
  5. Step 5: Solve for x
    x = 239,519.25/541.39
  6. Step 6: Final answer
    x = 442.42

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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.