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Finding the Fourth Proportional to 365.29, 547.53 and 228.14

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Solution

The fourth proportional to 365.29, 547.53 and 228.14 is: 341.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    365.29 : 547.53 = 228.14 : x
  2. Step 2: Convert to fraction form
    365.29/547.53 = 228.14/x
  3. Step 3: Cross multiply
    365.29x = 547.53 × 228.14
  4. Step 4: Simplify right side
    365.29x = 124,911.95
  5. Step 5: Solve for x
    x = 124,911.95/365.29
  6. Step 6: Final answer
    x = 341.96

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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.