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Finding the Fourth Proportional to 268.98, 401.28 and 265.52

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Solution

The fourth proportional to 268.98, 401.28 and 265.52 is: 396.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.98 : 401.28 = 265.52 : x
  2. Step 2: Convert to fraction form
    268.98/401.28 = 265.52/x
  3. Step 3: Cross multiply
    268.98x = 401.28 × 265.52
  4. Step 4: Simplify right side
    268.98x = 106,547.87
  5. Step 5: Solve for x
    x = 106,547.87/268.98
  6. Step 6: Final answer
    x = 396.13

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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.