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Finding the Fourth Proportional to 335.64, 505.32 and 306.94

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Solution

The fourth proportional to 335.64, 505.32 and 306.94 is: 462.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.64 : 505.32 = 306.94 : x
  2. Step 2: Convert to fraction form
    335.64/505.32 = 306.94/x
  3. Step 3: Cross multiply
    335.64x = 505.32 × 306.94
  4. Step 4: Simplify right side
    335.64x = 155,098.86
  5. Step 5: Solve for x
    x = 155,098.86/335.64
  6. Step 6: Final answer
    x = 462.11

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.