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Finding the Fourth Proportional to 207.18, 310.37 and 120.30

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Solution

The fourth proportional to 207.18, 310.37 and 120.30 is: 180.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.18 : 310.37 = 120.30 : x
  2. Step 2: Convert to fraction form
    207.18/310.37 = 120.30/x
  3. Step 3: Cross multiply
    207.18x = 310.37 × 120.30
  4. Step 4: Simplify right side
    207.18x = 37,337.51
  5. Step 5: Solve for x
    x = 37,337.51/207.18
  6. Step 6: Final answer
    x = 180.22

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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.