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Finding the Fourth Proportional to 382.48, 577.14 and 382.48

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Solution

The fourth proportional to 382.48, 577.14 and 382.48 is: 577.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    382.48 : 577.14 = 382.48 : x
  2. Step 2: Convert to fraction form
    382.48/577.14 = 382.48/x
  3. Step 3: Cross multiply
    382.48x = 577.14 × 382.48
  4. Step 4: Simplify right side
    382.48x = 220,744.51
  5. Step 5: Solve for x
    x = 220,744.51/382.48
  6. Step 6: Final answer
    x = 577.14

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.