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Finding the Fourth Proportional to 264.72, 394.71 and 264.36

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Solution

The fourth proportional to 264.72, 394.71 and 264.36 is: 394.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.72 : 394.71 = 264.36 : x
  2. Step 2: Convert to fraction form
    264.72/394.71 = 264.36/x
  3. Step 3: Cross multiply
    264.72x = 394.71 × 264.36
  4. Step 4: Simplify right side
    264.72x = 104,345.54
  5. Step 5: Solve for x
    x = 104,345.54/264.72
  6. Step 6: Final answer
    x = 394.17

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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.