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Finding the Fourth Proportional to 384.83, 531.04 and 237.47

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Solution

The fourth proportional to 384.83, 531.04 and 237.47 is: 327.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.83 : 531.04 = 237.47 : x
  2. Step 2: Convert to fraction form
    384.83/531.04 = 237.47/x
  3. Step 3: Cross multiply
    384.83x = 531.04 × 237.47
  4. Step 4: Simplify right side
    384.83x = 126,104.88
  5. Step 5: Solve for x
    x = 126,104.88/384.83
  6. Step 6: Final answer
    x = 327.69

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.