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Finding the Fourth Proportional to 370.10, 512.89 and 364.88

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Solution

The fourth proportional to 370.10, 512.89 and 364.88 is: 505.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.10 : 512.89 = 364.88 : x
  2. Step 2: Convert to fraction form
    370.10/512.89 = 364.88/x
  3. Step 3: Cross multiply
    370.10x = 512.89 × 364.88
  4. Step 4: Simplify right side
    370.10x = 187,141.19
  5. Step 5: Solve for x
    x = 187,141.19/370.10
  6. Step 6: Final answer
    x = 505.66

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.