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Finding the Fourth Proportional to 372.60, 511.80 and 306.96

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Solution

The fourth proportional to 372.60, 511.80 and 306.96 is: 421.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    372.60 : 511.80 = 306.96 : x
  2. Step 2: Convert to fraction form
    372.60/511.80 = 306.96/x
  3. Step 3: Cross multiply
    372.60x = 511.80 × 306.96
  4. Step 4: Simplify right side
    372.60x = 157,102.13
  5. Step 5: Solve for x
    x = 157,102.13/372.60
  6. Step 6: Final answer
    x = 421.64

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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.