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Finding the Fourth Proportional to 386.80, 577.66 and 335.60

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Solution

The fourth proportional to 386.80, 577.66 and 335.60 is: 501.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.80 : 577.66 = 335.60 : x
  2. Step 2: Convert to fraction form
    386.80/577.66 = 335.60/x
  3. Step 3: Cross multiply
    386.80x = 577.66 × 335.60
  4. Step 4: Simplify right side
    386.80x = 193,862.70
  5. Step 5: Solve for x
    x = 193,862.70/386.80
  6. Step 6: Final answer
    x = 501.20

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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.