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Finding the Fourth Proportional to 265.33, 366.20 and 160.50

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Solution

The fourth proportional to 265.33, 366.20 and 160.50 is: 221.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.33 : 366.20 = 160.50 : x
  2. Step 2: Convert to fraction form
    265.33/366.20 = 160.50/x
  3. Step 3: Cross multiply
    265.33x = 366.20 × 160.50
  4. Step 4: Simplify right side
    265.33x = 58,775.10
  5. Step 5: Solve for x
    x = 58,775.10/265.33
  6. Step 6: Final answer
    x = 221.52

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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.