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Finding the Fourth Proportional to 265.83, 364.20 and 256.11

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Solution

The fourth proportional to 265.83, 364.20 and 256.11 is: 350.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    265.83 : 364.20 = 256.11 : x
  2. Step 2: Convert to fraction form
    265.83/364.20 = 256.11/x
  3. Step 3: Cross multiply
    265.83x = 364.20 × 256.11
  4. Step 4: Simplify right side
    265.83x = 93,275.26
  5. Step 5: Solve for x
    x = 93,275.26/265.83
  6. Step 6: Final answer
    x = 350.88

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.