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Finding the Fourth Proportional to 174.37, 259.61 and 172.54

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Solution

The fourth proportional to 174.37, 259.61 and 172.54 is: 256.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.37 : 259.61 = 172.54 : x
  2. Step 2: Convert to fraction form
    174.37/259.61 = 172.54/x
  3. Step 3: Cross multiply
    174.37x = 259.61 × 172.54
  4. Step 4: Simplify right side
    174.37x = 44,793.11
  5. Step 5: Solve for x
    x = 44,793.11/174.37
  6. Step 6: Final answer
    x = 256.89

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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.