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Finding the Fourth Proportional to 384.03, 574.92 and 246.78

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Solution

The fourth proportional to 384.03, 574.92 and 246.78 is: 369.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.03 : 574.92 = 246.78 : x
  2. Step 2: Convert to fraction form
    384.03/574.92 = 246.78/x
  3. Step 3: Cross multiply
    384.03x = 574.92 × 246.78
  4. Step 4: Simplify right side
    384.03x = 141,878.76
  5. Step 5: Solve for x
    x = 141,878.76/384.03
  6. Step 6: Final answer
    x = 369.45

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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.