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Finding the Fourth Proportional to 265.34, 366.26 and 228.35

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Solution

The fourth proportional to 265.34, 366.26 and 228.35 is: 315.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.34 : 366.26 = 228.35 : x
  2. Step 2: Convert to fraction form
    265.34/366.26 = 228.35/x
  3. Step 3: Cross multiply
    265.34x = 366.26 × 228.35
  4. Step 4: Simplify right side
    265.34x = 83,635.47
  5. Step 5: Solve for x
    x = 83,635.47/265.34
  6. Step 6: Final answer
    x = 315.20

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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.