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Finding the Fourth Proportional to 262.94, 392.81 and 208.89

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Solution

The fourth proportional to 262.94, 392.81 and 208.89 is: 312.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.94 : 392.81 = 208.89 : x
  2. Step 2: Convert to fraction form
    262.94/392.81 = 208.89/x
  3. Step 3: Cross multiply
    262.94x = 392.81 × 208.89
  4. Step 4: Simplify right side
    262.94x = 82,053.04
  5. Step 5: Solve for x
    x = 82,053.04/262.94
  6. Step 6: Final answer
    x = 312.07

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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.