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Finding the Fourth Proportional to 265.92, 366.93 and 155.43

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Solution

The fourth proportional to 265.92, 366.93 and 155.43 is: 214.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.92 : 366.93 = 155.43 : x
  2. Step 2: Convert to fraction form
    265.92/366.93 = 155.43/x
  3. Step 3: Cross multiply
    265.92x = 366.93 × 155.43
  4. Step 4: Simplify right side
    265.92x = 57,031.93
  5. Step 5: Solve for x
    x = 57,031.93/265.92
  6. Step 6: Final answer
    x = 214.47

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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.