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Finding the Fourth Proportional to 175.03, 261.16 and 157.77

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Solution

The fourth proportional to 175.03, 261.16 and 157.77 is: 235.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.03 : 261.16 = 157.77 : x
  2. Step 2: Convert to fraction form
    175.03/261.16 = 157.77/x
  3. Step 3: Cross multiply
    175.03x = 261.16 × 157.77
  4. Step 4: Simplify right side
    175.03x = 41,202.82
  5. Step 5: Solve for x
    x = 41,202.82/175.03
  6. Step 6: Final answer
    x = 235.41

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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.