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Finding the Fourth Proportional to 284.10, 391.12 and 210.32

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Solution

The fourth proportional to 284.10, 391.12 and 210.32 is: 289.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    284.10 : 391.12 = 210.32 : x
  2. Step 2: Convert to fraction form
    284.10/391.12 = 210.32/x
  3. Step 3: Cross multiply
    284.10x = 391.12 × 210.32
  4. Step 4: Simplify right side
    284.10x = 82,260.36
  5. Step 5: Solve for x
    x = 82,260.36/284.10
  6. Step 6: Final answer
    x = 289.55

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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.