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Finding the Fourth Proportional to 386.04, 575.72 and 328.63

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Solution

The fourth proportional to 386.04, 575.72 and 328.63 is: 490.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.04 : 575.72 = 328.63 : x
  2. Step 2: Convert to fraction form
    386.04/575.72 = 328.63/x
  3. Step 3: Cross multiply
    386.04x = 575.72 × 328.63
  4. Step 4: Simplify right side
    386.04x = 189,198.86
  5. Step 5: Solve for x
    x = 189,198.86/386.04
  6. Step 6: Final answer
    x = 490.10

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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.