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Finding the Fourth Proportional to 207.84, 313.17 and 172.56

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Solution

The fourth proportional to 207.84, 313.17 and 172.56 is: 260.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.84 : 313.17 = 172.56 : x
  2. Step 2: Convert to fraction form
    207.84/313.17 = 172.56/x
  3. Step 3: Cross multiply
    207.84x = 313.17 × 172.56
  4. Step 4: Simplify right side
    207.84x = 54,040.62
  5. Step 5: Solve for x
    x = 54,040.62/207.84
  6. Step 6: Final answer
    x = 260.01

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.