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Finding the Fourth Proportional to 284.92, 394.27 and 260.31

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Solution

The fourth proportional to 284.92, 394.27 and 260.31 is: 360.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.92 : 394.27 = 260.31 : x
  2. Step 2: Convert to fraction form
    284.92/394.27 = 260.31/x
  3. Step 3: Cross multiply
    284.92x = 394.27 × 260.31
  4. Step 4: Simplify right side
    284.92x = 102,633.25
  5. Step 5: Solve for x
    x = 102,633.25/284.92
  6. Step 6: Final answer
    x = 360.22

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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.