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Finding the Fourth Proportional to 284.61, 426.10 and 261.93

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Solution

The fourth proportional to 284.61, 426.10 and 261.93 is: 392.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.61 : 426.10 = 261.93 : x
  2. Step 2: Convert to fraction form
    284.61/426.10 = 261.93/x
  3. Step 3: Cross multiply
    284.61x = 426.10 × 261.93
  4. Step 4: Simplify right side
    284.61x = 111,608.37
  5. Step 5: Solve for x
    x = 111,608.37/284.61
  6. Step 6: Final answer
    x = 392.14

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.