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Finding the Fourth Proportional to 384.84, 531.27 and 237.55

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Solution

The fourth proportional to 384.84, 531.27 and 237.55 is: 327.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    384.84 : 531.27 = 237.55 : x
  2. Step 2: Convert to fraction form
    384.84/531.27 = 237.55/x
  3. Step 3: Cross multiply
    384.84x = 531.27 × 237.55
  4. Step 4: Simplify right side
    384.84x = 126,203.19
  5. Step 5: Solve for x
    x = 126,203.19/384.84
  6. Step 6: Final answer
    x = 327.94

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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.