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Finding the Fourth Proportional to 211.10, 287.41 and 210.45

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Solution

The fourth proportional to 211.10, 287.41 and 210.45 is: 286.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.10 : 287.41 = 210.45 : x
  2. Step 2: Convert to fraction form
    211.10/287.41 = 210.45/x
  3. Step 3: Cross multiply
    211.10x = 287.41 × 210.45
  4. Step 4: Simplify right side
    211.10x = 60,485.43
  5. Step 5: Solve for x
    x = 60,485.43/211.10
  6. Step 6: Final answer
    x = 286.53

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.