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Finding the Fourth Proportional to 211.06, 316.40 and 102.80

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Solution

The fourth proportional to 211.06, 316.40 and 102.80 is: 154.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.06 : 316.40 = 102.80 : x
  2. Step 2: Convert to fraction form
    211.06/316.40 = 102.80/x
  3. Step 3: Cross multiply
    211.06x = 316.40 × 102.80
  4. Step 4: Simplify right side
    211.06x = 32,525.92
  5. Step 5: Solve for x
    x = 32,525.92/211.06
  6. Step 6: Final answer
    x = 154.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.