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Finding the Fourth Proportional to 380.68, 524.80 and 281.18

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Solution

The fourth proportional to 380.68, 524.80 and 281.18 is: 387.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.68 : 524.80 = 281.18 : x
  2. Step 2: Convert to fraction form
    380.68/524.80 = 281.18/x
  3. Step 3: Cross multiply
    380.68x = 524.80 × 281.18
  4. Step 4: Simplify right side
    380.68x = 147,563.26
  5. Step 5: Solve for x
    x = 147,563.26/380.68
  6. Step 6: Final answer
    x = 387.63

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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.