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Finding the Fourth Proportional to 335.02, 462.34 and 187.64

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Solution

The fourth proportional to 335.02, 462.34 and 187.64 is: 258.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.02 : 462.34 = 187.64 : x
  2. Step 2: Convert to fraction form
    335.02/462.34 = 187.64/x
  3. Step 3: Cross multiply
    335.02x = 462.34 × 187.64
  4. Step 4: Simplify right side
    335.02x = 86,753.48
  5. Step 5: Solve for x
    x = 86,753.48/335.02
  6. Step 6: Final answer
    x = 258.95

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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.