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Finding the Fourth Proportional to 335.10, 461.40 and 285.21

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Solution

The fourth proportional to 335.10, 461.40 and 285.21 is: 392.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.10 : 461.40 = 285.21 : x
  2. Step 2: Convert to fraction form
    335.10/461.40 = 285.21/x
  3. Step 3: Cross multiply
    335.10x = 461.40 × 285.21
  4. Step 4: Simplify right side
    335.10x = 131,594.82
  5. Step 5: Solve for x
    x = 131,594.82/335.10
  6. Step 6: Final answer
    x = 392.70

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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.