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Finding the Fourth Proportional to 335.93, 463.54 and 209.84

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Solution

The fourth proportional to 335.93, 463.54 and 209.84 is: 289.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.93 : 463.54 = 209.84 : x
  2. Step 2: Convert to fraction form
    335.93/463.54 = 209.84/x
  3. Step 3: Cross multiply
    335.93x = 463.54 × 209.84
  4. Step 4: Simplify right side
    335.93x = 97,268.18
  5. Step 5: Solve for x
    x = 97,268.18/335.93
  6. Step 6: Final answer
    x = 289.55

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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.