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Finding the Fourth Proportional to 293.95, 405.25 and 284.38

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Solution

The fourth proportional to 293.95, 405.25 and 284.38 is: 392.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.95 : 405.25 = 284.38 : x
  2. Step 2: Convert to fraction form
    293.95/405.25 = 284.38/x
  3. Step 3: Cross multiply
    293.95x = 405.25 × 284.38
  4. Step 4: Simplify right side
    293.95x = 115,243.27
  5. Step 5: Solve for x
    x = 115,243.27/293.95
  6. Step 6: Final answer
    x = 392.05

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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.