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Finding the Fourth Proportional to 335.71, 463.55 and 265.71

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Solution

The fourth proportional to 335.71, 463.55 and 265.71 is: 366.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.71 : 463.55 = 265.71 : x
  2. Step 2: Convert to fraction form
    335.71/463.55 = 265.71/x
  3. Step 3: Cross multiply
    335.71x = 463.55 × 265.71
  4. Step 4: Simplify right side
    335.71x = 123,169.87
  5. Step 5: Solve for x
    x = 123,169.87/335.71
  6. Step 6: Final answer
    x = 366.89

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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.