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Finding the Fourth Proportional to 174.48, 259.80 and 172.56

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Solution

The fourth proportional to 174.48, 259.80 and 172.56 is: 256.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.48 : 259.80 = 172.56 : x
  2. Step 2: Convert to fraction form
    174.48/259.80 = 172.56/x
  3. Step 3: Cross multiply
    174.48x = 259.80 × 172.56
  4. Step 4: Simplify right side
    174.48x = 44,831.09
  5. Step 5: Solve for x
    x = 44,831.09/174.48
  6. Step 6: Final answer
    x = 256.94

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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.