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Finding the Fourth Proportional to 384.40, 576.77 and 208.75

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Solution

The fourth proportional to 384.40, 576.77 and 208.75 is: 313.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.40 : 576.77 = 208.75 : x
  2. Step 2: Convert to fraction form
    384.40/576.77 = 208.75/x
  3. Step 3: Cross multiply
    384.40x = 576.77 × 208.75
  4. Step 4: Simplify right side
    384.40x = 120,399.69
  5. Step 5: Solve for x
    x = 120,399.69/384.40
  6. Step 6: Final answer
    x = 313.22

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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.