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Finding the Fourth Proportional to 264.72, 394.34 and 247.90

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Solution

The fourth proportional to 264.72, 394.34 and 247.90 is: 369.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.72 : 394.34 = 247.90 : x
  2. Step 2: Convert to fraction form
    264.72/394.34 = 247.90/x
  3. Step 3: Cross multiply
    264.72x = 394.34 × 247.90
  4. Step 4: Simplify right side
    264.72x = 97,756.94
  5. Step 5: Solve for x
    x = 97,756.94/264.72
  6. Step 6: Final answer
    x = 369.29

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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.