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Finding the Fourth Proportional to 261.45, 358.41 and 256.80

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Solution

The fourth proportional to 261.45, 358.41 and 256.80 is: 352.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    261.45 : 358.41 = 256.80 : x
  2. Step 2: Convert to fraction form
    261.45/358.41 = 256.80/x
  3. Step 3: Cross multiply
    261.45x = 358.41 × 256.80
  4. Step 4: Simplify right side
    261.45x = 92,039.69
  5. Step 5: Solve for x
    x = 92,039.69/261.45
  6. Step 6: Final answer
    x = 352.04

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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.