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Finding the Fourth Proportional to 284.36, 392.62 and 222.16

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Solution

The fourth proportional to 284.36, 392.62 and 222.16 is: 306.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.36 : 392.62 = 222.16 : x
  2. Step 2: Convert to fraction form
    284.36/392.62 = 222.16/x
  3. Step 3: Cross multiply
    284.36x = 392.62 × 222.16
  4. Step 4: Simplify right side
    284.36x = 87,224.46
  5. Step 5: Solve for x
    x = 87,224.46/284.36
  6. Step 6: Final answer
    x = 306.74

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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.