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Finding the Fourth Proportional to 284.55, 392.85 and 179.79

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Solution

The fourth proportional to 284.55, 392.85 and 179.79 is: 248.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.55 : 392.85 = 179.79 : x
  2. Step 2: Convert to fraction form
    284.55/392.85 = 179.79/x
  3. Step 3: Cross multiply
    284.55x = 392.85 × 179.79
  4. Step 4: Simplify right side
    284.55x = 70,629.03
  5. Step 5: Solve for x
    x = 70,629.03/284.55
  6. Step 6: Final answer
    x = 248.22

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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.