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Finding the Fourth Proportional to 386, 581.90 and 380.24

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Solution

The fourth proportional to 386, 581.90 and 380.24 is: 573.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    386 : 581.90 = 380.24 : x
  2. Step 2: Convert to fraction form
    386/581.90 = 380.24/x
  3. Step 3: Cross multiply
    386x = 581.90 × 380.24
  4. Step 4: Simplify right side
    386x = 221,261.66
  5. Step 5: Solve for x
    x = 221,261.66/386
  6. Step 6: Final answer
    x = 573.22

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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.