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Finding the Fourth Proportional to 293.14, 402.05 and 285.82

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Solution

The fourth proportional to 293.14, 402.05 and 285.82 is: 392.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    293.14 : 402.05 = 285.82 : x
  2. Step 2: Convert to fraction form
    293.14/402.05 = 285.82/x
  3. Step 3: Cross multiply
    293.14x = 402.05 × 285.82
  4. Step 4: Simplify right side
    293.14x = 114,913.93
  5. Step 5: Solve for x
    x = 114,913.93/293.14
  6. Step 6: Final answer
    x = 392.01

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.