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Finding the Fourth Proportional to 207.32, 309.45 and 181.40

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Solution

The fourth proportional to 207.32, 309.45 and 181.40 is: 270.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.32 : 309.45 = 181.40 : x
  2. Step 2: Convert to fraction form
    207.32/309.45 = 181.40/x
  3. Step 3: Cross multiply
    207.32x = 309.45 × 181.40
  4. Step 4: Simplify right side
    207.32x = 56,133.32
  5. Step 5: Solve for x
    x = 56,133.32/207.32
  6. Step 6: Final answer
    x = 270.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.