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Finding the Fourth Proportional to 313.18, 467.08 and 296.78

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Solution

The fourth proportional to 313.18, 467.08 and 296.78 is: 442.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    313.18 : 467.08 = 296.78 : x
  2. Step 2: Convert to fraction form
    313.18/467.08 = 296.78/x
  3. Step 3: Cross multiply
    313.18x = 467.08 × 296.78
  4. Step 4: Simplify right side
    313.18x = 138,620.00
  5. Step 5: Solve for x
    x = 138,620.00/313.18
  6. Step 6: Final answer
    x = 442.62

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.