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Finding the Fourth Proportional to 309.37, 464.12 and 103.90

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Solution

The fourth proportional to 309.37, 464.12 and 103.90 is: 155.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.37 : 464.12 = 103.90 : x
  2. Step 2: Convert to fraction form
    309.37/464.12 = 103.90/x
  3. Step 3: Cross multiply
    309.37x = 464.12 × 103.90
  4. Step 4: Simplify right side
    309.37x = 48,219.23
  5. Step 5: Solve for x
    x = 48,219.23/309.37
  6. Step 6: Final answer
    x = 155.87

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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.