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Finding the Fourth Proportional to 335.31, 462.56 and 210.89

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Solution

The fourth proportional to 335.31, 462.56 and 210.89 is: 290.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.31 : 462.56 = 210.89 : x
  2. Step 2: Convert to fraction form
    335.31/462.56 = 210.89/x
  3. Step 3: Cross multiply
    335.31x = 462.56 × 210.89
  4. Step 4: Simplify right side
    335.31x = 97,545.91
  5. Step 5: Solve for x
    x = 97,545.91/335.31
  6. Step 6: Final answer
    x = 290.91

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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.