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Finding the Fourth Proportional to 365.22, 546.80 and 243.24

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Solution

The fourth proportional to 365.22, 546.80 and 243.24 is: 364.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.22 : 546.80 = 243.24 : x
  2. Step 2: Convert to fraction form
    365.22/546.80 = 243.24/x
  3. Step 3: Cross multiply
    365.22x = 546.80 × 243.24
  4. Step 4: Simplify right side
    365.22x = 133,002.42
  5. Step 5: Solve for x
    x = 133,002.42/365.22
  6. Step 6: Final answer
    x = 364.17

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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.