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Finding the Fourth Proportional to 174.45, 241.26 and 152.58

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Solution

The fourth proportional to 174.45, 241.26 and 152.58 is: 211.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.45 : 241.26 = 152.58 : x
  2. Step 2: Convert to fraction form
    174.45/241.26 = 152.58/x
  3. Step 3: Cross multiply
    174.45x = 241.26 × 152.58
  4. Step 4: Simplify right side
    174.45x = 36,810.85
  5. Step 5: Solve for x
    x = 36,810.85/174.45
  6. Step 6: Final answer
    x = 211.01

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.