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Finding the Fourth Proportional to 363.23, 541.63 and 320.06

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Solution

The fourth proportional to 363.23, 541.63 and 320.06 is: 477.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.23 : 541.63 = 320.06 : x
  2. Step 2: Convert to fraction form
    363.23/541.63 = 320.06/x
  3. Step 3: Cross multiply
    363.23x = 541.63 × 320.06
  4. Step 4: Simplify right side
    363.23x = 173,352.50
  5. Step 5: Solve for x
    x = 173,352.50/363.23
  6. Step 6: Final answer
    x = 477.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.