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Finding the Fourth Proportional to 372.78, 514.40 and 233.01

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Solution

The fourth proportional to 372.78, 514.40 and 233.01 is: 321.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.78 : 514.40 = 233.01 : x
  2. Step 2: Convert to fraction form
    372.78/514.40 = 233.01/x
  3. Step 3: Cross multiply
    372.78x = 514.40 × 233.01
  4. Step 4: Simplify right side
    372.78x = 119,859.18
  5. Step 5: Solve for x
    x = 119,859.18/372.78
  6. Step 6: Final answer
    x = 321.53

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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.