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Finding the Fourth Proportional to 335.60, 463.60 and 258.96

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Solution

The fourth proportional to 335.60, 463.60 and 258.96 is: 357.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.60 : 463.60 = 258.96 : x
  2. Step 2: Convert to fraction form
    335.60/463.60 = 258.96/x
  3. Step 3: Cross multiply
    335.60x = 463.60 × 258.96
  4. Step 4: Simplify right side
    335.60x = 120,053.86
  5. Step 5: Solve for x
    x = 120,053.86/335.60
  6. Step 6: Final answer
    x = 357.73

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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.