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Finding the Fourth Proportional to 389.17, 536.07 and 363.66

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Solution

The fourth proportional to 389.17, 536.07 and 363.66 is: 500.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.17 : 536.07 = 363.66 : x
  2. Step 2: Convert to fraction form
    389.17/536.07 = 363.66/x
  3. Step 3: Cross multiply
    389.17x = 536.07 × 363.66
  4. Step 4: Simplify right side
    389.17x = 194,947.22
  5. Step 5: Solve for x
    x = 194,947.22/389.17
  6. Step 6: Final answer
    x = 500.93

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.