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Finding the Fourth Proportional to 310.96, 468.70 and 297.07

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Solution

The fourth proportional to 310.96, 468.70 and 297.07 is: 447.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    310.96 : 468.70 = 297.07 : x
  2. Step 2: Convert to fraction form
    310.96/468.70 = 297.07/x
  3. Step 3: Cross multiply
    310.96x = 468.70 × 297.07
  4. Step 4: Simplify right side
    310.96x = 139,234.27
  5. Step 5: Solve for x
    x = 139,234.27/310.96
  6. Step 6: Final answer
    x = 447.75

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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.