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Finding the Fourth Proportional to 190.57, 261.30 and 172.07

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Solution

The fourth proportional to 190.57, 261.30 and 172.07 is: 235.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    190.57 : 261.30 = 172.07 : x
  2. Step 2: Convert to fraction form
    190.57/261.30 = 172.07/x
  3. Step 3: Cross multiply
    190.57x = 261.30 × 172.07
  4. Step 4: Simplify right side
    190.57x = 44,961.89
  5. Step 5: Solve for x
    x = 44,961.89/190.57
  6. Step 6: Final answer
    x = 235.93

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.