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Finding the Fourth Proportional to 312.84, 469.98 and 197.28

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Solution

The fourth proportional to 312.84, 469.98 and 197.28 is: 296.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.84 : 469.98 = 197.28 : x
  2. Step 2: Convert to fraction form
    312.84/469.98 = 197.28/x
  3. Step 3: Cross multiply
    312.84x = 469.98 × 197.28
  4. Step 4: Simplify right side
    312.84x = 92,717.65
  5. Step 5: Solve for x
    x = 92,717.65/312.84
  6. Step 6: Final answer
    x = 296.37

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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.