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Finding the Fourth Proportional to 243.50, 363.60 and 214.00

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Solution

The fourth proportional to 243.50, 363.60 and 214.00 is: 319.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.50 : 363.60 = 214.00 : x
  2. Step 2: Convert to fraction form
    243.50/363.60 = 214.00/x
  3. Step 3: Cross multiply
    243.50x = 363.60 × 214.00
  4. Step 4: Simplify right side
    243.50x = 77,809.49
  5. Step 5: Solve for x
    x = 77,809.49/243.50
  6. Step 6: Final answer
    x = 319.55

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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.