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Finding the Fourth Proportional to 268.10, 400.16 and 246.45

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Solution

The fourth proportional to 268.10, 400.16 and 246.45 is: 367.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.10 : 400.16 = 246.45 : x
  2. Step 2: Convert to fraction form
    268.10/400.16 = 246.45/x
  3. Step 3: Cross multiply
    268.10x = 400.16 × 246.45
  4. Step 4: Simplify right side
    268.10x = 98,618.20
  5. Step 5: Solve for x
    x = 98,618.20/268.10
  6. Step 6: Final answer
    x = 367.85

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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.