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Finding the Fourth Proportional to 335.77, 463.53 and 209.77

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Solution

The fourth proportional to 335.77, 463.53 and 209.77 is: 289.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.77 : 463.53 = 209.77 : x
  2. Step 2: Convert to fraction form
    335.77/463.53 = 209.77/x
  3. Step 3: Cross multiply
    335.77x = 463.53 × 209.77
  4. Step 4: Simplify right side
    335.77x = 97,234.32
  5. Step 5: Solve for x
    x = 97,234.32/335.77
  6. Step 6: Final answer
    x = 289.59

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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.