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Finding the Fourth Proportional to 335.68, 463.05 and 211.34

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Solution

The fourth proportional to 335.68, 463.05 and 211.34 is: 291.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.68 : 463.05 = 211.34 : x
  2. Step 2: Convert to fraction form
    335.68/463.05 = 211.34/x
  3. Step 3: Cross multiply
    335.68x = 463.05 × 211.34
  4. Step 4: Simplify right side
    335.68x = 97,862.14
  5. Step 5: Solve for x
    x = 97,862.14/335.68
  6. Step 6: Final answer
    x = 291.54

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.