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Finding the Fourth Proportional to 211.15, 316.77 and 64.91

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Solution

The fourth proportional to 211.15, 316.77 and 64.91 is: 97.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    211.15 : 316.77 = 64.91 : x
  2. Step 2: Convert to fraction form
    211.15/316.77 = 64.91/x
  3. Step 3: Cross multiply
    211.15x = 316.77 × 64.91
  4. Step 4: Simplify right side
    211.15x = 20,561.54
  5. Step 5: Solve for x
    x = 20,561.54/211.15
  6. Step 6: Final answer
    x = 97.38

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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.