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Finding the Fourth Proportional to 380.96, 525.48 and 282.80

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Solution

The fourth proportional to 380.96, 525.48 and 282.80 is: 390.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    380.96 : 525.48 = 282.80 : x
  2. Step 2: Convert to fraction form
    380.96/525.48 = 282.80/x
  3. Step 3: Cross multiply
    380.96x = 525.48 × 282.80
  4. Step 4: Simplify right side
    380.96x = 148,605.74
  5. Step 5: Solve for x
    x = 148,605.74/380.96
  6. Step 6: Final answer
    x = 390.08

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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.