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Finding the Fourth Proportional to 284.16, 427.79 and 259.93

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Solution

The fourth proportional to 284.16, 427.79 and 259.93 is: 391.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.16 : 427.79 = 259.93 : x
  2. Step 2: Convert to fraction form
    284.16/427.79 = 259.93/x
  3. Step 3: Cross multiply
    284.16x = 427.79 × 259.93
  4. Step 4: Simplify right side
    284.16x = 111,198.21
  5. Step 5: Solve for x
    x = 111,198.21/284.16
  6. Step 6: Final answer
    x = 391.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.