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Finding the Fourth Proportional to 294.28, 405.28 and 287.90

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Solution

The fourth proportional to 294.28, 405.28 and 287.90 is: 396.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.28 : 405.28 = 287.90 : x
  2. Step 2: Convert to fraction form
    294.28/405.28 = 287.90/x
  3. Step 3: Cross multiply
    294.28x = 405.28 × 287.90
  4. Step 4: Simplify right side
    294.28x = 116,678.09
  5. Step 5: Solve for x
    x = 116,678.09/294.28
  6. Step 6: Final answer
    x = 396.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.