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Finding the Fourth Proportional to 365.50, 547.80 and 261.23

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Solution

The fourth proportional to 365.50, 547.80 and 261.23 is: 391.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.50 : 547.80 = 261.23 : x
  2. Step 2: Convert to fraction form
    365.50/547.80 = 261.23/x
  3. Step 3: Cross multiply
    365.50x = 547.80 × 261.23
  4. Step 4: Simplify right side
    365.50x = 143,098.08
  5. Step 5: Solve for x
    x = 143,098.08/365.50
  6. Step 6: Final answer
    x = 391.51

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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.