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Finding the Fourth Proportional to 287.71, 396.76 and 256.93

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Solution

The fourth proportional to 287.71, 396.76 and 256.93 is: 354.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    287.71 : 396.76 = 256.93 : x
  2. Step 2: Convert to fraction form
    287.71/396.76 = 256.93/x
  3. Step 3: Cross multiply
    287.71x = 396.76 × 256.93
  4. Step 4: Simplify right side
    287.71x = 101,939.55
  5. Step 5: Solve for x
    x = 101,939.55/287.71
  6. Step 6: Final answer
    x = 354.31

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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.