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Finding the Fourth Proportional to 264.94, 394.05 and 262.06

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Solution

The fourth proportional to 264.94, 394.05 and 262.06 is: 389.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.94 : 394.05 = 262.06 : x
  2. Step 2: Convert to fraction form
    264.94/394.05 = 262.06/x
  3. Step 3: Cross multiply
    264.94x = 394.05 × 262.06
  4. Step 4: Simplify right side
    264.94x = 103,264.74
  5. Step 5: Solve for x
    x = 103,264.74/264.94
  6. Step 6: Final answer
    x = 389.77

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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.