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Finding the Fourth Proportional to 386.65, 579.77 and 264.95

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Solution

The fourth proportional to 386.65, 579.77 and 264.95 is: 397.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.65 : 579.77 = 264.95 : x
  2. Step 2: Convert to fraction form
    386.65/579.77 = 264.95/x
  3. Step 3: Cross multiply
    386.65x = 579.77 × 264.95
  4. Step 4: Simplify right side
    386.65x = 153,610.06
  5. Step 5: Solve for x
    x = 153,610.06/386.65
  6. Step 6: Final answer
    x = 397.28

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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.