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Finding the Fourth Proportional to 384.12, 575.64 and 191.34

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Solution

The fourth proportional to 384.12, 575.64 and 191.34 is: 286.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.12 : 575.64 = 191.34 : x
  2. Step 2: Convert to fraction form
    384.12/575.64 = 191.34/x
  3. Step 3: Cross multiply
    384.12x = 575.64 × 191.34
  4. Step 4: Simplify right side
    384.12x = 110,142.96
  5. Step 5: Solve for x
    x = 110,142.96/384.12
  6. Step 6: Final answer
    x = 286.74

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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.