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Finding the Fourth Proportional to 207.03, 285.70 and 119.70

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Solution

The fourth proportional to 207.03, 285.70 and 119.70 is: 165.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.03 : 285.70 = 119.70 : x
  2. Step 2: Convert to fraction form
    207.03/285.70 = 119.70/x
  3. Step 3: Cross multiply
    207.03x = 285.70 × 119.70
  4. Step 4: Simplify right side
    207.03x = 34,198.29
  5. Step 5: Solve for x
    x = 34,198.29/207.03
  6. Step 6: Final answer
    x = 165.19

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.