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Finding the Fourth Proportional to 318.77, 477.81 and 209.04

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Solution

The fourth proportional to 318.77, 477.81 and 209.04 is: 313.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.77 : 477.81 = 209.04 : x
  2. Step 2: Convert to fraction form
    318.77/477.81 = 209.04/x
  3. Step 3: Cross multiply
    318.77x = 477.81 × 209.04
  4. Step 4: Simplify right side
    318.77x = 99,881.40
  5. Step 5: Solve for x
    x = 99,881.40/318.77
  6. Step 6: Final answer
    x = 313.33

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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.