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Finding the Fourth Proportional to 243.20, 364.80 and 210.59

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Solution

The fourth proportional to 243.20, 364.80 and 210.59 is: 315.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.20 : 364.80 = 210.59 : x
  2. Step 2: Convert to fraction form
    243.20/364.80 = 210.59/x
  3. Step 3: Cross multiply
    243.20x = 364.80 × 210.59
  4. Step 4: Simplify right side
    243.20x = 76,823.23
  5. Step 5: Solve for x
    x = 76,823.23/243.20
  6. Step 6: Final answer
    x = 315.89

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.