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Finding the Fourth Proportional to 262.41, 392.99 and 208.34

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Solution

The fourth proportional to 262.41, 392.99 and 208.34 is: 312.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    262.41 : 392.99 = 208.34 : x
  2. Step 2: Convert to fraction form
    262.41/392.99 = 208.34/x
  3. Step 3: Cross multiply
    262.41x = 392.99 × 208.34
  4. Step 4: Simplify right side
    262.41x = 81,875.54
  5. Step 5: Solve for x
    x = 81,875.54/262.41
  6. Step 6: Final answer
    x = 312.01

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.