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Finding the Fourth Proportional to 268.40, 400.65 and 236

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Solution

The fourth proportional to 268.40, 400.65 and 236 is: 352.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.40 : 400.65 = 236 : x
  2. Step 2: Convert to fraction form
    268.40/400.65 = 236/x
  3. Step 3: Cross multiply
    268.40x = 400.65 × 236
  4. Step 4: Simplify right side
    268.40x = 94,553.40
  5. Step 5: Solve for x
    x = 94,553.40/268.40
  6. Step 6: Final answer
    x = 352.29

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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.