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Finding the Fourth Proportional to 386.68, 577.01 and 345.79

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Solution

The fourth proportional to 386.68, 577.01 and 345.79 is: 515.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.68 : 577.01 = 345.79 : x
  2. Step 2: Convert to fraction form
    386.68/577.01 = 345.79/x
  3. Step 3: Cross multiply
    386.68x = 577.01 × 345.79
  4. Step 4: Simplify right side
    386.68x = 199,524.29
  5. Step 5: Solve for x
    x = 199,524.29/386.68
  6. Step 6: Final answer
    x = 515.99

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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.