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Finding the Fourth Proportional to 370.94, 512.16 and 301.82

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Solution

The fourth proportional to 370.94, 512.16 and 301.82 is: 416.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.94 : 512.16 = 301.82 : x
  2. Step 2: Convert to fraction form
    370.94/512.16 = 301.82/x
  3. Step 3: Cross multiply
    370.94x = 512.16 × 301.82
  4. Step 4: Simplify right side
    370.94x = 154,580.13
  5. Step 5: Solve for x
    x = 154,580.13/370.94
  6. Step 6: Final answer
    x = 416.73

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.