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Finding the Fourth Proportional to 370.50, 555.75 and 154.09

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Solution

The fourth proportional to 370.50, 555.75 and 154.09 is: 231.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.50 : 555.75 = 154.09 : x
  2. Step 2: Convert to fraction form
    370.50/555.75 = 154.09/x
  3. Step 3: Cross multiply
    370.50x = 555.75 × 154.09
  4. Step 4: Simplify right side
    370.50x = 85,634.13
  5. Step 5: Solve for x
    x = 85,634.13/370.50
  6. Step 6: Final answer
    x = 231.13

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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.