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Finding the Fourth Proportional to 335.31, 461.90 and 302.50

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Solution

The fourth proportional to 335.31, 461.90 and 302.50 is: 416.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    335.31 : 461.90 = 302.50 : x
  2. Step 2: Convert to fraction form
    335.31/461.90 = 302.50/x
  3. Step 3: Cross multiply
    335.31x = 461.90 × 302.50
  4. Step 4: Simplify right side
    335.31x = 139,726.08
  5. Step 5: Solve for x
    x = 139,726.08/335.31
  6. Step 6: Final answer
    x = 416.71

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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.