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Finding the Fourth Proportional to 335.86, 463.53 and 211.57

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Solution

The fourth proportional to 335.86, 463.53 and 211.57 is: 291.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.86 : 463.53 = 211.57 : x
  2. Step 2: Convert to fraction form
    335.86/463.53 = 211.57/x
  3. Step 3: Cross multiply
    335.86x = 463.53 × 211.57
  4. Step 4: Simplify right side
    335.86x = 98,069.04
  5. Step 5: Solve for x
    x = 98,069.04/335.86
  6. Step 6: Final answer
    x = 291.99

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Why These Related Problems?

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