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Finding the Fourth Proportional to 284.13, 391.23 and 259.83

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Solution

The fourth proportional to 284.13, 391.23 and 259.83 is: 357.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.13 : 391.23 = 259.83 : x
  2. Step 2: Convert to fraction form
    284.13/391.23 = 259.83/x
  3. Step 3: Cross multiply
    284.13x = 391.23 × 259.83
  4. Step 4: Simplify right side
    284.13x = 101,653.29
  5. Step 5: Solve for x
    x = 101,653.29/284.13
  6. Step 6: Final answer
    x = 357.77

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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.