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Finding the Fourth Proportional to 243.30, 363.18 and 214.14

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Solution

The fourth proportional to 243.30, 363.18 and 214.14 is: 319.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.30 : 363.18 = 214.14 : x
  2. Step 2: Convert to fraction form
    243.30/363.18 = 214.14/x
  3. Step 3: Cross multiply
    243.30x = 363.18 × 214.14
  4. Step 4: Simplify right side
    243.30x = 77,771.37
  5. Step 5: Solve for x
    x = 77,771.37/243.30
  6. Step 6: Final answer
    x = 319.65

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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.