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Finding the Fourth Proportional to 309.18, 464.04 and 261.12

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Solution

The fourth proportional to 309.18, 464.04 and 261.12 is: 391.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.18 : 464.04 = 261.12 : x
  2. Step 2: Convert to fraction form
    309.18/464.04 = 261.12/x
  3. Step 3: Cross multiply
    309.18x = 464.04 × 261.12
  4. Step 4: Simplify right side
    309.18x = 121,170.12
  5. Step 5: Solve for x
    x = 121,170.12/309.18
  6. Step 6: Final answer
    x = 391.91

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.