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Finding the Fourth Proportional to 325.80, 486.89 and 263.40

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Solution

The fourth proportional to 325.80, 486.89 and 263.40 is: 393.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    325.80 : 486.89 = 263.40 : x
  2. Step 2: Convert to fraction form
    325.80/486.89 = 263.40/x
  3. Step 3: Cross multiply
    325.80x = 486.89 × 263.40
  4. Step 4: Simplify right side
    325.80x = 128,246.83
  5. Step 5: Solve for x
    x = 128,246.83/325.80
  6. Step 6: Final answer
    x = 393.64

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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.