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Finding the Fourth Proportional to 268.64, 404.64 and 253.20

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Solution

The fourth proportional to 268.64, 404.64 and 253.20 is: 381.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.64 : 404.64 = 253.20 : x
  2. Step 2: Convert to fraction form
    268.64/404.64 = 253.20/x
  3. Step 3: Cross multiply
    268.64x = 404.64 × 253.20
  4. Step 4: Simplify right side
    268.64x = 102,454.85
  5. Step 5: Solve for x
    x = 102,454.85/268.64
  6. Step 6: Final answer
    x = 381.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.