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Finding the Fourth Proportional to 207.09, 309.71 and 155.16

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Solution

The fourth proportional to 207.09, 309.71 and 155.16 is: 232.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.09 : 309.71 = 155.16 : x
  2. Step 2: Convert to fraction form
    207.09/309.71 = 155.16/x
  3. Step 3: Cross multiply
    207.09x = 309.71 × 155.16
  4. Step 4: Simplify right side
    207.09x = 48,054.99
  5. Step 5: Solve for x
    x = 48,054.99/207.09
  6. Step 6: Final answer
    x = 232.05

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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.