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Finding the Fourth Proportional to 335.86, 463.17 and 311.02

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Solution

The fourth proportional to 335.86, 463.17 and 311.02 is: 428.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.86 : 463.17 = 311.02 : x
  2. Step 2: Convert to fraction form
    335.86/463.17 = 311.02/x
  3. Step 3: Cross multiply
    335.86x = 463.17 × 311.02
  4. Step 4: Simplify right side
    335.86x = 144,055.13
  5. Step 5: Solve for x
    x = 144,055.13/335.86
  6. Step 6: Final answer
    x = 428.91

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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.