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Finding the Fourth Proportional to 386.52, 577.22 and 365.46

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Solution

The fourth proportional to 386.52, 577.22 and 365.46 is: 545.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.52 : 577.22 = 365.46 : x
  2. Step 2: Convert to fraction form
    386.52/577.22 = 365.46/x
  3. Step 3: Cross multiply
    386.52x = 577.22 × 365.46
  4. Step 4: Simplify right side
    386.52x = 210,950.82
  5. Step 5: Solve for x
    x = 210,950.82/386.52
  6. Step 6: Final answer
    x = 545.77

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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.