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Finding the Fourth Proportional to 312.61, 469.02 and 196.93

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Solution

The fourth proportional to 312.61, 469.02 and 196.93 is: 295.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.61 : 469.02 = 196.93 : x
  2. Step 2: Convert to fraction form
    312.61/469.02 = 196.93/x
  3. Step 3: Cross multiply
    312.61x = 469.02 × 196.93
  4. Step 4: Simplify right side
    312.61x = 92,365.43
  5. Step 5: Solve for x
    x = 92,365.43/312.61
  6. Step 6: Final answer
    x = 295.47

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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.