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Finding the Fourth Proportional to 291.24, 401.49 and 256.41

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Solution

The fourth proportional to 291.24, 401.49 and 256.41 is: 353.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    291.24 : 401.49 = 256.41 : x
  2. Step 2: Convert to fraction form
    291.24/401.49 = 256.41/x
  3. Step 3: Cross multiply
    291.24x = 401.49 × 256.41
  4. Step 4: Simplify right side
    291.24x = 102,946.05
  5. Step 5: Solve for x
    x = 102,946.05/291.24
  6. Step 6: Final answer
    x = 353.47

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.