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Finding the Fourth Proportional to 369.94, 557.45 and 306.37

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Solution

The fourth proportional to 369.94, 557.45 and 306.37 is: 461.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    369.94 : 557.45 = 306.37 : x
  2. Step 2: Convert to fraction form
    369.94/557.45 = 306.37/x
  3. Step 3: Cross multiply
    369.94x = 557.45 × 306.37
  4. Step 4: Simplify right side
    369.94x = 170,785.96
  5. Step 5: Solve for x
    x = 170,785.96/369.94
  6. Step 6: Final answer
    x = 461.66

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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.