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Finding the Fourth Proportional to 311, 468.70 and 293.36

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Solution

The fourth proportional to 311, 468.70 and 293.36 is: 442.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    311 : 468.70 = 293.36 : x
  2. Step 2: Convert to fraction form
    311/468.70 = 293.36/x
  3. Step 3: Cross multiply
    311x = 468.70 × 293.36
  4. Step 4: Simplify right side
    311x = 137,497.83
  5. Step 5: Solve for x
    x = 137,497.83/311
  6. Step 6: Final answer
    x = 442.12

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.