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Finding the Fourth Proportional to 335.61, 463.20 and 202.93

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Solution

The fourth proportional to 335.61, 463.20 and 202.93 is: 280.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.61 : 463.20 = 202.93 : x
  2. Step 2: Convert to fraction form
    335.61/463.20 = 202.93/x
  3. Step 3: Cross multiply
    335.61x = 463.20 × 202.93
  4. Step 4: Simplify right side
    335.61x = 93,997.18
  5. Step 5: Solve for x
    x = 93,997.18/335.61
  6. Step 6: Final answer
    x = 280.08

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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.