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Finding the Fourth Proportional to 861.06, 1,291.59 and 211.80

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Solution

The fourth proportional to 861.06, 1,291.59 and 211.80 is: 317.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    861.06 : 1,291.59 = 211.80 : x
  2. Step 2: Convert to fraction form
    861.06/1,291.59 = 211.80/x
  3. Step 3: Cross multiply
    861.06x = 1,291.59 × 211.80
  4. Step 4: Simplify right side
    861.06x = 273,558.76
  5. Step 5: Solve for x
    x = 273,558.76/861.06
  6. Step 6: Final answer
    x = 317.70

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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.