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Finding the Fourth Proportional to 213.28, 292.37 and 210.04

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Solution

The fourth proportional to 213.28, 292.37 and 210.04 is: 287.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    213.28 : 292.37 = 210.04 : x
  2. Step 2: Convert to fraction form
    213.28/292.37 = 210.04/x
  3. Step 3: Cross multiply
    213.28x = 292.37 × 210.04
  4. Step 4: Simplify right side
    213.28x = 61,409.39
  5. Step 5: Solve for x
    x = 61,409.39/213.28
  6. Step 6: Final answer
    x = 287.93

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.