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Finding the Fourth Proportional to 370.76, 556.16 and 127.24

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Solution

The fourth proportional to 370.76, 556.16 and 127.24 is: 190.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.76 : 556.16 = 127.24 : x
  2. Step 2: Convert to fraction form
    370.76/556.16 = 127.24/x
  3. Step 3: Cross multiply
    370.76x = 556.16 × 127.24
  4. Step 4: Simplify right side
    370.76x = 70,763.77
  5. Step 5: Solve for x
    x = 70,763.77/370.76
  6. Step 6: Final answer
    x = 190.86

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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.