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Finding the Fourth Proportional to 380.48, 525.12 and 282.52

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Solution

The fourth proportional to 380.48, 525.12 and 282.52 is: 389.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.48 : 525.12 = 282.52 : x
  2. Step 2: Convert to fraction form
    380.48/525.12 = 282.52/x
  3. Step 3: Cross multiply
    380.48x = 525.12 × 282.52
  4. Step 4: Simplify right side
    380.48x = 148,355.59
  5. Step 5: Solve for x
    x = 148,355.59/380.48
  6. Step 6: Final answer
    x = 389.91

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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.