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Finding the Fourth Proportional to 370.76, 556.12 and 110.77

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Solution

The fourth proportional to 370.76, 556.12 and 110.77 is: 166.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    370.76 : 556.12 = 110.77 : x
  2. Step 2: Convert to fraction form
    370.76/556.12 = 110.77/x
  3. Step 3: Cross multiply
    370.76x = 556.12 × 110.77
  4. Step 4: Simplify right side
    370.76x = 61,600.16
  5. Step 5: Solve for x
    x = 61,600.16/370.76
  6. Step 6: Final answer
    x = 166.15

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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.