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Finding the Fourth Proportional to 335.39, 462.76 and 256.79

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Solution

The fourth proportional to 335.39, 462.76 and 256.79 is: 354.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.39 : 462.76 = 256.79 : x
  2. Step 2: Convert to fraction form
    335.39/462.76 = 256.79/x
  3. Step 3: Cross multiply
    335.39x = 462.76 × 256.79
  4. Step 4: Simplify right side
    335.39x = 118,832.66
  5. Step 5: Solve for x
    x = 118,832.66/335.39
  6. Step 6: Final answer
    x = 354.32

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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.