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Finding the Fourth Proportional to 386.87, 577.32 and 345.86

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Solution

The fourth proportional to 386.87, 577.32 and 345.86 is: 516.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.87 : 577.32 = 345.86 : x
  2. Step 2: Convert to fraction form
    386.87/577.32 = 345.86/x
  3. Step 3: Cross multiply
    386.87x = 577.32 × 345.86
  4. Step 4: Simplify right side
    386.87x = 199,669.01
  5. Step 5: Solve for x
    x = 199,669.01/386.87
  6. Step 6: Final answer
    x = 516.12

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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.