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Finding the Fourth Proportional to 389.34, 536.86 and 264.75

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Solution

The fourth proportional to 389.34, 536.86 and 264.75 is: 365.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    389.34 : 536.86 = 264.75 : x
  2. Step 2: Convert to fraction form
    389.34/536.86 = 264.75/x
  3. Step 3: Cross multiply
    389.34x = 536.86 × 264.75
  4. Step 4: Simplify right side
    389.34x = 142,132.00
  5. Step 5: Solve for x
    x = 142,132.00/389.34
  6. Step 6: Final answer
    x = 365.06

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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.