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Finding the Fourth Proportional to 370.50, 555 and 309.44

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Solution

The fourth proportional to 370.50, 555 and 309.44 is: 463.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.50 : 555 = 309.44 : x
  2. Step 2: Convert to fraction form
    370.50/555 = 309.44/x
  3. Step 3: Cross multiply
    370.50x = 555 × 309.44
  4. Step 4: Simplify right side
    370.50x = 171,736.43
  5. Step 5: Solve for x
    x = 171,736.43/370.50
  6. Step 6: Final answer
    x = 463.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.