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Finding the Fourth Proportional to 284.57, 392.86 and 197.09

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Solution

The fourth proportional to 284.57, 392.86 and 197.09 is: 272.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.57 : 392.86 = 197.09 : x
  2. Step 2: Convert to fraction form
    284.57/392.86 = 197.09/x
  3. Step 3: Cross multiply
    284.57x = 392.86 × 197.09
  4. Step 4: Simplify right side
    284.57x = 77,430.74
  5. Step 5: Solve for x
    x = 77,430.74/284.57
  6. Step 6: Final answer
    x = 272.09

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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.