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Finding the Fourth Proportional to 389.03, 536.67 and 264.87

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Solution

The fourth proportional to 389.03, 536.67 and 264.87 is: 365.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.03 : 536.67 = 264.87 : x
  2. Step 2: Convert to fraction form
    389.03/536.67 = 264.87/x
  3. Step 3: Cross multiply
    389.03x = 536.67 × 264.87
  4. Step 4: Simplify right side
    389.03x = 142,147.78
  5. Step 5: Solve for x
    x = 142,147.78/389.03
  6. Step 6: Final answer
    x = 365.39

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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.