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Finding the Fourth Proportional to 386.62, 579.57 and 264.76

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Solution

The fourth proportional to 386.62, 579.57 and 264.76 is: 396.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.62 : 579.57 = 264.76 : x
  2. Step 2: Convert to fraction form
    386.62/579.57 = 264.76/x
  3. Step 3: Cross multiply
    386.62x = 579.57 × 264.76
  4. Step 4: Simplify right side
    386.62x = 153,446.95
  5. Step 5: Solve for x
    x = 153,446.95/386.62
  6. Step 6: Final answer
    x = 396.89

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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.