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Finding the Fourth Proportional to 309.53, 464.57 and 136.46

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Solution

The fourth proportional to 309.53, 464.57 and 136.46 is: 204.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    309.53 : 464.57 = 136.46 : x
  2. Step 2: Convert to fraction form
    309.53/464.57 = 136.46/x
  3. Step 3: Cross multiply
    309.53x = 464.57 × 136.46
  4. Step 4: Simplify right side
    309.53x = 63,395.22
  5. Step 5: Solve for x
    x = 63,395.22/309.53
  6. Step 6: Final answer
    x = 204.81

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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.