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Finding the Fourth Proportional to 363.30, 542.64 and 312.09

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Solution

The fourth proportional to 363.30, 542.64 and 312.09 is: 466.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    363.30 : 542.64 = 312.09 : x
  2. Step 2: Convert to fraction form
    363.30/542.64 = 312.09/x
  3. Step 3: Cross multiply
    363.30x = 542.64 × 312.09
  4. Step 4: Simplify right side
    363.30x = 169,352.52
  5. Step 5: Solve for x
    x = 169,352.52/363.30
  6. Step 6: Final answer
    x = 466.15

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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.