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Finding the Fourth Proportional to 264.49, 393.61 and 254.77

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Solution

The fourth proportional to 264.49, 393.61 and 254.77 is: 379.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.49 : 393.61 = 254.77 : x
  2. Step 2: Convert to fraction form
    264.49/393.61 = 254.77/x
  3. Step 3: Cross multiply
    264.49x = 393.61 × 254.77
  4. Step 4: Simplify right side
    264.49x = 100,280.02
  5. Step 5: Solve for x
    x = 100,280.02/264.49
  6. Step 6: Final answer
    x = 379.14

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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.