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Finding the Fourth Proportional to 372.02, 513.33 and 232.10

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Solution

The fourth proportional to 372.02, 513.33 and 232.10 is: 320.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.02 : 513.33 = 232.10 : x
  2. Step 2: Convert to fraction form
    372.02/513.33 = 232.10/x
  3. Step 3: Cross multiply
    372.02x = 513.33 × 232.10
  4. Step 4: Simplify right side
    372.02x = 119,140.46
  5. Step 5: Solve for x
    x = 119,140.46/372.02
  6. Step 6: Final answer
    x = 320.25

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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.