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Finding the Fourth Proportional to 264.65, 394.48 and 251.66

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Solution

The fourth proportional to 264.65, 394.48 and 251.66 is: 375.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.65 : 394.48 = 251.66 : x
  2. Step 2: Convert to fraction form
    264.65/394.48 = 251.66/x
  3. Step 3: Cross multiply
    264.65x = 394.48 × 251.66
  4. Step 4: Simplify right side
    264.65x = 99,272.24
  5. Step 5: Solve for x
    x = 99,272.24/264.65
  6. Step 6: Final answer
    x = 375.10

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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.