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Finding the Fourth Proportional to 284.97, 392.95 and 254.26

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Solution

The fourth proportional to 284.97, 392.95 and 254.26 is: 350.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.97 : 392.95 = 254.26 : x
  2. Step 2: Convert to fraction form
    284.97/392.95 = 254.26/x
  3. Step 3: Cross multiply
    284.97x = 392.95 × 254.26
  4. Step 4: Simplify right side
    284.97x = 99,911.47
  5. Step 5: Solve for x
    x = 99,911.47/284.97
  6. Step 6: Final answer
    x = 350.60

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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.