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Finding the Fourth Proportional to 363.74, 542.76 and 320.00

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Solution

The fourth proportional to 363.74, 542.76 and 320.00 is: 477.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.74 : 542.76 = 320.00 : x
  2. Step 2: Convert to fraction form
    363.74/542.76 = 320.00/x
  3. Step 3: Cross multiply
    363.74x = 542.76 × 320.00
  4. Step 4: Simplify right side
    363.74x = 173,679.29
  5. Step 5: Solve for x
    x = 173,679.29/363.74
  6. Step 6: Final answer
    x = 477.49

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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.