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Finding the Fourth Proportional to 365.84, 547.73 and 228.54

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Solution

The fourth proportional to 365.84, 547.73 and 228.54 is: 342.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.84 : 547.73 = 228.54 : x
  2. Step 2: Convert to fraction form
    365.84/547.73 = 228.54/x
  3. Step 3: Cross multiply
    365.84x = 547.73 × 228.54
  4. Step 4: Simplify right side
    365.84x = 125,177.07
  5. Step 5: Solve for x
    x = 125,177.07/365.84
  6. Step 6: Final answer
    x = 342.17

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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.