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Finding the Fourth Proportional to 268.16, 399.84 and 256.88

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Solution

The fourth proportional to 268.16, 399.84 and 256.88 is: 383.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.16 : 399.84 = 256.88 : x
  2. Step 2: Convert to fraction form
    268.16/399.84 = 256.88/x
  3. Step 3: Cross multiply
    268.16x = 399.84 × 256.88
  4. Step 4: Simplify right side
    268.16x = 102,710.90
  5. Step 5: Solve for x
    x = 102,710.90/268.16
  6. Step 6: Final answer
    x = 383.02

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.