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Finding the Fourth Proportional to 284.85, 392.85 and 211.34

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Solution

The fourth proportional to 284.85, 392.85 and 211.34 is: 291.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.85 : 392.85 = 211.34 : x
  2. Step 2: Convert to fraction form
    284.85/392.85 = 211.34/x
  3. Step 3: Cross multiply
    284.85x = 392.85 × 211.34
  4. Step 4: Simplify right side
    284.85x = 83,025.90
  5. Step 5: Solve for x
    x = 83,025.90/284.85
  6. Step 6: Final answer
    x = 291.47

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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.