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Finding the Fourth Proportional to 175.70, 261.41 and 175.07

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Solution

The fourth proportional to 175.70, 261.41 and 175.07 is: 260.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.70 : 261.41 = 175.07 : x
  2. Step 2: Convert to fraction form
    175.70/261.41 = 175.07/x
  3. Step 3: Cross multiply
    175.70x = 261.41 × 175.07
  4. Step 4: Simplify right side
    175.70x = 45,762.87
  5. Step 5: Solve for x
    x = 45,762.87/175.70
  6. Step 6: Final answer
    x = 260.47

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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.