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Finding the Fourth Proportional to 369.27, 556.47 and 305.69

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Solution

The fourth proportional to 369.27, 556.47 and 305.69 is: 460.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.27 : 556.47 = 305.69 : x
  2. Step 2: Convert to fraction form
    369.27/556.47 = 305.69/x
  3. Step 3: Cross multiply
    369.27x = 556.47 × 305.69
  4. Step 4: Simplify right side
    369.27x = 170,104.53
  5. Step 5: Solve for x
    x = 170,104.53/369.27
  6. Step 6: Final answer
    x = 460.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.