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Finding the Fourth Proportional to 261.54, 358.59 and 256.95

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Solution

The fourth proportional to 261.54, 358.59 and 256.95 is: 352.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.54 : 358.59 = 256.95 : x
  2. Step 2: Convert to fraction form
    261.54/358.59 = 256.95/x
  3. Step 3: Cross multiply
    261.54x = 358.59 × 256.95
  4. Step 4: Simplify right side
    261.54x = 92,139.70
  5. Step 5: Solve for x
    x = 92,139.70/261.54
  6. Step 6: Final answer
    x = 352.30

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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.