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Finding the Fourth Proportional to 211.40, 317 and 103.14

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Solution

The fourth proportional to 211.40, 317 and 103.14 is: 154.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.40 : 317 = 103.14 : x
  2. Step 2: Convert to fraction form
    211.40/317 = 103.14/x
  3. Step 3: Cross multiply
    211.40x = 317 × 103.14
  4. Step 4: Simplify right side
    211.40x = 32,695.38
  5. Step 5: Solve for x
    x = 32,695.38/211.40
  6. Step 6: Final answer
    x = 154.66

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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.