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Finding the Fourth Proportional to 210.16, 288.28 and 197.72

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Solution

The fourth proportional to 210.16, 288.28 and 197.72 is: 271.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    210.16 : 288.28 = 197.72 : x
  2. Step 2: Convert to fraction form
    210.16/288.28 = 197.72/x
  3. Step 3: Cross multiply
    210.16x = 288.28 × 197.72
  4. Step 4: Simplify right side
    210.16x = 56,998.72
  5. Step 5: Solve for x
    x = 56,998.72/210.16
  6. Step 6: Final answer
    x = 271.22

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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.