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Finding the Fourth Proportional to 310.61, 466.20 and 195.29

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Solution

The fourth proportional to 310.61, 466.20 and 195.29 is: 293.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.61 : 466.20 = 195.29 : x
  2. Step 2: Convert to fraction form
    310.61/466.20 = 195.29/x
  3. Step 3: Cross multiply
    310.61x = 466.20 × 195.29
  4. Step 4: Simplify right side
    310.61x = 91,044.20
  5. Step 5: Solve for x
    x = 91,044.20/310.61
  6. Step 6: Final answer
    x = 293.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.