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Finding the Fourth Proportional to 211.19, 316.84 and 89.46

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Solution

The fourth proportional to 211.19, 316.84 and 89.46 is: 134.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.19 : 316.84 = 89.46 : x
  2. Step 2: Convert to fraction form
    211.19/316.84 = 89.46/x
  3. Step 3: Cross multiply
    211.19x = 316.84 × 89.46
  4. Step 4: Simplify right side
    211.19x = 28,344.28
  5. Step 5: Solve for x
    x = 28,344.28/211.19
  6. Step 6: Final answer
    x = 134.21

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