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Finding the Fourth Proportional to 210.68, 288.97 and 193.40

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Solution

The fourth proportional to 210.68, 288.97 and 193.40 is: 265.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.68 : 288.97 = 193.40 : x
  2. Step 2: Convert to fraction form
    210.68/288.97 = 193.40/x
  3. Step 3: Cross multiply
    210.68x = 288.97 × 193.40
  4. Step 4: Simplify right side
    210.68x = 55,886.80
  5. Step 5: Solve for x
    x = 55,886.80/210.68
  6. Step 6: Final answer
    x = 265.27

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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.