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Finding the Fourth Proportional to 243.23, 365.02 and 145.78

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Solution

The fourth proportional to 243.23, 365.02 and 145.78 is: 218.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    243.23 : 365.02 = 145.78 : x
  2. Step 2: Convert to fraction form
    243.23/365.02 = 145.78/x
  3. Step 3: Cross multiply
    243.23x = 365.02 × 145.78
  4. Step 4: Simplify right side
    243.23x = 53,211.34
  5. Step 5: Solve for x
    x = 53,211.34/243.23
  6. Step 6: Final answer
    x = 218.77

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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.