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Finding the Fourth Proportional to 284.37, 391.38 and 262.08

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Solution

The fourth proportional to 284.37, 391.38 and 262.08 is: 360.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.37 : 391.38 = 262.08 : x
  2. Step 2: Convert to fraction form
    284.37/391.38 = 262.08/x
  3. Step 3: Cross multiply
    284.37x = 391.38 × 262.08
  4. Step 4: Simplify right side
    284.37x = 102,572.87
  5. Step 5: Solve for x
    x = 102,572.87/284.37
  6. Step 6: Final answer
    x = 360.70

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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.