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Finding the Fourth Proportional to 174.98, 240.16 and 157.16

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Solution

The fourth proportional to 174.98, 240.16 and 157.16 is: 215.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.98 : 240.16 = 157.16 : x
  2. Step 2: Convert to fraction form
    174.98/240.16 = 157.16/x
  3. Step 3: Cross multiply
    174.98x = 240.16 × 157.16
  4. Step 4: Simplify right side
    174.98x = 37,743.55
  5. Step 5: Solve for x
    x = 37,743.55/174.98
  6. Step 6: Final answer
    x = 215.70

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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.