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Finding the Fourth Proportional to 386.24, 575.17 and 385.16

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Solution

The fourth proportional to 386.24, 575.17 and 385.16 is: 573.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.24 : 575.17 = 385.16 : x
  2. Step 2: Convert to fraction form
    386.24/575.17 = 385.16/x
  3. Step 3: Cross multiply
    386.24x = 575.17 × 385.16
  4. Step 4: Simplify right side
    386.24x = 221,532.48
  5. Step 5: Solve for x
    x = 221,532.48/386.24
  6. Step 6: Final answer
    x = 573.56

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.