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Finding the Fourth Proportional to 211.42, 317.09 and 95.84

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Solution

The fourth proportional to 211.42, 317.09 and 95.84 is: 143.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.42 : 317.09 = 95.84 : x
  2. Step 2: Convert to fraction form
    211.42/317.09 = 95.84/x
  3. Step 3: Cross multiply
    211.42x = 317.09 × 95.84
  4. Step 4: Simplify right side
    211.42x = 30,389.43
  5. Step 5: Solve for x
    x = 30,389.43/211.42
  6. Step 6: Final answer
    x = 143.74

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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.