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Finding the Fourth Proportional to 386.69, 577.04 and 345.67

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Solution

The fourth proportional to 386.69, 577.04 and 345.67 is: 515.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.69 : 577.04 = 345.67 : x
  2. Step 2: Convert to fraction form
    386.69/577.04 = 345.67/x
  3. Step 3: Cross multiply
    386.69x = 577.04 × 345.67
  4. Step 4: Simplify right side
    386.69x = 199,465.42
  5. Step 5: Solve for x
    x = 199,465.42/386.69
  6. Step 6: Final answer
    x = 515.83

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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.