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Finding the Fourth Proportional to 174.90, 261.13 and 157.62

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Solution

The fourth proportional to 174.90, 261.13 and 157.62 is: 235.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.90 : 261.13 = 157.62 : x
  2. Step 2: Convert to fraction form
    174.90/261.13 = 157.62/x
  3. Step 3: Cross multiply
    174.90x = 261.13 × 157.62
  4. Step 4: Simplify right side
    174.90x = 41,159.31
  5. Step 5: Solve for x
    x = 41,159.31/174.90
  6. Step 6: Final answer
    x = 235.33

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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.