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Finding the Fourth Proportional to 294.40, 405.03 and 286.30

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Solution

The fourth proportional to 294.40, 405.03 and 286.30 is: 393.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    294.40 : 405.03 = 286.30 : x
  2. Step 2: Convert to fraction form
    294.40/405.03 = 286.30/x
  3. Step 3: Cross multiply
    294.40x = 405.03 × 286.30
  4. Step 4: Simplify right side
    294.40x = 115,960.09
  5. Step 5: Solve for x
    x = 115,960.09/294.40
  6. Step 6: Final answer
    x = 393.89

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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.