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Finding the Fourth Proportional to 284.32, 391.76 and 192.16

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Solution

The fourth proportional to 284.32, 391.76 and 192.16 is: 264.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.32 : 391.76 = 192.16 : x
  2. Step 2: Convert to fraction form
    284.32/391.76 = 192.16/x
  3. Step 3: Cross multiply
    284.32x = 391.76 × 192.16
  4. Step 4: Simplify right side
    284.32x = 75,280.60
  5. Step 5: Solve for x
    x = 75,280.60/284.32
  6. Step 6: Final answer
    x = 264.77

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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.