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Finding the Fourth Proportional to 265.04, 365.02 and 228.20

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Solution

The fourth proportional to 265.04, 365.02 and 228.20 is: 314.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.04 : 365.02 = 228.20 : x
  2. Step 2: Convert to fraction form
    265.04/365.02 = 228.20/x
  3. Step 3: Cross multiply
    265.04x = 365.02 × 228.20
  4. Step 4: Simplify right side
    265.04x = 83,297.56
  5. Step 5: Solve for x
    x = 83,297.56/265.04
  6. Step 6: Final answer
    x = 314.28

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.