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Finding the Fourth Proportional to 375.48, 513.69 and 374.40

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Solution

The fourth proportional to 375.48, 513.69 and 374.40 is: 512.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    375.48 : 513.69 = 374.40 : x
  2. Step 2: Convert to fraction form
    375.48/513.69 = 374.40/x
  3. Step 3: Cross multiply
    375.48x = 513.69 × 374.40
  4. Step 4: Simplify right side
    375.48x = 192,325.54
  5. Step 5: Solve for x
    x = 192,325.54/375.48
  6. Step 6: Final answer
    x = 512.21

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.