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Finding the Fourth Proportional to 284.19, 392.11 and 173.71

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Solution

The fourth proportional to 284.19, 392.11 and 173.71 is: 239.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.19 : 392.11 = 173.71 : x
  2. Step 2: Convert to fraction form
    284.19/392.11 = 173.71/x
  3. Step 3: Cross multiply
    284.19x = 392.11 × 173.71
  4. Step 4: Simplify right side
    284.19x = 68,113.43
  5. Step 5: Solve for x
    x = 68,113.43/284.19
  6. Step 6: Final answer
    x = 239.68

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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.