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Finding the Fourth Proportional to 384.27, 575.69 and 164.40

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Solution

The fourth proportional to 384.27, 575.69 and 164.40 is: 246.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.27 : 575.69 = 164.40 : x
  2. Step 2: Convert to fraction form
    384.27/575.69 = 164.40/x
  3. Step 3: Cross multiply
    384.27x = 575.69 × 164.40
  4. Step 4: Simplify right side
    384.27x = 94,642.61
  5. Step 5: Solve for x
    x = 94,642.61/384.27
  6. Step 6: Final answer
    x = 246.29

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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.