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Finding the Fourth Proportional to 372, 513.02 and 306.36

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Solution

The fourth proportional to 372, 513.02 and 306.36 is: 422.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    372 : 513.02 = 306.36 : x
  2. Step 2: Convert to fraction form
    372/513.02 = 306.36/x
  3. Step 3: Cross multiply
    372x = 513.02 × 306.36
  4. Step 4: Simplify right side
    372x = 157,168.81
  5. Step 5: Solve for x
    x = 157,168.81/372
  6. Step 6: Final answer
    x = 422.50

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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.