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Finding the Fourth Proportional to 384.97, 577.91 and 230.97

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Solution

The fourth proportional to 384.97, 577.91 and 230.97 is: 346.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.97 : 577.91 = 230.97 : x
  2. Step 2: Convert to fraction form
    384.97/577.91 = 230.97/x
  3. Step 3: Cross multiply
    384.97x = 577.91 × 230.97
  4. Step 4: Simplify right side
    384.97x = 133,479.87
  5. Step 5: Solve for x
    x = 133,479.87/384.97
  6. Step 6: Final answer
    x = 346.73

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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.