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Finding the Fourth Proportional to 386, 579.12 and 288.68

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Solution

The fourth proportional to 386, 579.12 and 288.68 is: 433.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    386 : 579.12 = 288.68 : x
  2. Step 2: Convert to fraction form
    386/579.12 = 288.68/x
  3. Step 3: Cross multiply
    386x = 579.12 × 288.68
  4. Step 4: Simplify right side
    386x = 167,180.36
  5. Step 5: Solve for x
    x = 167,180.36/386
  6. Step 6: Final answer
    x = 433.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.