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Finding the Fourth Proportional to 211.41, 316.77 and 120.17

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Solution

The fourth proportional to 211.41, 316.77 and 120.17 is: 180.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.41 : 316.77 = 120.17 : x
  2. Step 2: Convert to fraction form
    211.41/316.77 = 120.17/x
  3. Step 3: Cross multiply
    211.41x = 316.77 × 120.17
  4. Step 4: Simplify right side
    211.41x = 38,066.99
  5. Step 5: Solve for x
    x = 38,066.99/211.41
  6. Step 6: Final answer
    x = 180.06

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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.