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Finding the Fourth Proportional to 389.57, 536.57 and 360.36

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Solution

The fourth proportional to 389.57, 536.57 and 360.36 is: 496.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.57 : 536.57 = 360.36 : x
  2. Step 2: Convert to fraction form
    389.57/536.57 = 360.36/x
  3. Step 3: Cross multiply
    389.57x = 536.57 × 360.36
  4. Step 4: Simplify right side
    389.57x = 193,356.56
  5. Step 5: Solve for x
    x = 193,356.56/389.57
  6. Step 6: Final answer
    x = 496.34

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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.