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Finding the Fourth Proportional to 265.59, 366.35 and 162.09

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Solution

The fourth proportional to 265.59, 366.35 and 162.09 is: 223.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.59 : 366.35 = 162.09 : x
  2. Step 2: Convert to fraction form
    265.59/366.35 = 162.09/x
  3. Step 3: Cross multiply
    265.59x = 366.35 × 162.09
  4. Step 4: Simplify right side
    265.59x = 59,380.86
  5. Step 5: Solve for x
    x = 59,380.86/265.59
  6. Step 6: Final answer
    x = 223.58

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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.