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Finding the Fourth Proportional to 384.27, 574.98 and 230.30

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Solution

The fourth proportional to 384.27, 574.98 and 230.30 is: 344.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.27 : 574.98 = 230.30 : x
  2. Step 2: Convert to fraction form
    384.27/574.98 = 230.30/x
  3. Step 3: Cross multiply
    384.27x = 574.98 × 230.30
  4. Step 4: Simplify right side
    384.27x = 132,417.89
  5. Step 5: Solve for x
    x = 132,417.89/384.27
  6. Step 6: Final answer
    x = 344.60

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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.