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Finding the Fourth Proportional to 265.43, 398.06 and 92.00

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Solution

The fourth proportional to 265.43, 398.06 and 92.00 is: 137.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.43 : 398.06 = 92.00 : x
  2. Step 2: Convert to fraction form
    265.43/398.06 = 92.00/x
  3. Step 3: Cross multiply
    265.43x = 398.06 × 92.00
  4. Step 4: Simplify right side
    265.43x = 36,622.92
  5. Step 5: Solve for x
    x = 36,622.92/265.43
  6. Step 6: Final answer
    x = 137.98

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.