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Finding the Fourth Proportional to 207.64, 311.05 and 120.77

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Solution

The fourth proportional to 207.64, 311.05 and 120.77 is: 180.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.64 : 311.05 = 120.77 : x
  2. Step 2: Convert to fraction form
    207.64/311.05 = 120.77/x
  3. Step 3: Cross multiply
    207.64x = 311.05 × 120.77
  4. Step 4: Simplify right side
    207.64x = 37,565.51
  5. Step 5: Solve for x
    x = 37,565.51/207.64
  6. Step 6: Final answer
    x = 180.92

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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.