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Finding the Fourth Proportional to 309.64, 464.38 and 127

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Solution

The fourth proportional to 309.64, 464.38 and 127 is: 190.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.64 : 464.38 = 127 : x
  2. Step 2: Convert to fraction form
    309.64/464.38 = 127/x
  3. Step 3: Cross multiply
    309.64x = 464.38 × 127
  4. Step 4: Simplify right side
    309.64x = 58,976.26
  5. Step 5: Solve for x
    x = 58,976.26/309.64
  6. Step 6: Final answer
    x = 190.47

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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.