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Finding the Fourth Proportional to 265.22, 394.76 and 261.32

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Solution

The fourth proportional to 265.22, 394.76 and 261.32 is: 388.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.22 : 394.76 = 261.32 : x
  2. Step 2: Convert to fraction form
    265.22/394.76 = 261.32/x
  3. Step 3: Cross multiply
    265.22x = 394.76 × 261.32
  4. Step 4: Simplify right side
    265.22x = 103,158.68
  5. Step 5: Solve for x
    x = 103,158.68/265.22
  6. Step 6: Final answer
    x = 388.96

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.