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Finding the Fourth Proportional to 369.41, 556.61 and 305.84

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Solution

The fourth proportional to 369.41, 556.61 and 305.84 is: 460.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.41 : 556.61 = 305.84 : x
  2. Step 2: Convert to fraction form
    369.41/556.61 = 305.84/x
  3. Step 3: Cross multiply
    369.41x = 556.61 × 305.84
  4. Step 4: Simplify right side
    369.41x = 170,233.46
  5. Step 5: Solve for x
    x = 170,233.46/369.41
  6. Step 6: Final answer
    x = 460.83

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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.