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Finding the Fourth Proportional to 372.12, 513.53 and 260.25

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Solution

The fourth proportional to 372.12, 513.53 and 260.25 is: 359.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.12 : 513.53 = 260.25 : x
  2. Step 2: Convert to fraction form
    372.12/513.53 = 260.25/x
  3. Step 3: Cross multiply
    372.12x = 513.53 × 260.25
  4. Step 4: Simplify right side
    372.12x = 133,644.88
  5. Step 5: Solve for x
    x = 133,644.88/372.12
  6. Step 6: Final answer
    x = 359.14

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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.