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Finding the Fourth Proportional to 284.70, 392.56 and 209.67

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Solution

The fourth proportional to 284.70, 392.56 and 209.67 is: 289.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.70 : 392.56 = 209.67 : x
  2. Step 2: Convert to fraction form
    284.70/392.56 = 209.67/x
  3. Step 3: Cross multiply
    284.70x = 392.56 × 209.67
  4. Step 4: Simplify right side
    284.70x = 82,308.06
  5. Step 5: Solve for x
    x = 82,308.06/284.70
  6. Step 6: Final answer
    x = 289.10

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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.