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Finding the Fourth Proportional to 380.60, 524.56 and 282.60

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Solution

The fourth proportional to 380.60, 524.56 and 282.60 is: 389.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.60 : 524.56 = 282.60 : x
  2. Step 2: Convert to fraction form
    380.60/524.56 = 282.60/x
  3. Step 3: Cross multiply
    380.60x = 524.56 × 282.60
  4. Step 4: Simplify right side
    380.60x = 148,240.66
  5. Step 5: Solve for x
    x = 148,240.66/380.60
  6. Step 6: Final answer
    x = 389.49

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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.