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Finding the Fourth Proportional to 384.32, 577.25 and 230.55

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Solution

The fourth proportional to 384.32, 577.25 and 230.55 is: 346.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.32 : 577.25 = 230.55 : x
  2. Step 2: Convert to fraction form
    384.32/577.25 = 230.55/x
  3. Step 3: Cross multiply
    384.32x = 577.25 × 230.55
  4. Step 4: Simplify right side
    384.32x = 133,083.83
  5. Step 5: Solve for x
    x = 133,083.83/384.32
  6. Step 6: Final answer
    x = 346.29

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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.