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Finding the Fourth Proportional to 289.10, 396.58 and 264.80

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Solution

The fourth proportional to 289.10, 396.58 and 264.80 is: 363.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.10 : 396.58 = 264.80 : x
  2. Step 2: Convert to fraction form
    289.10/396.58 = 264.80/x
  3. Step 3: Cross multiply
    289.10x = 396.58 × 264.80
  4. Step 4: Simplify right side
    289.10x = 105,014.38
  5. Step 5: Solve for x
    x = 105,014.38/289.10
  6. Step 6: Final answer
    x = 363.25

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.