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Finding the Fourth Proportional to 174.24, 259.80 and 148.68

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Solution

The fourth proportional to 174.24, 259.80 and 148.68 is: 221.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.24 : 259.80 = 148.68 : x
  2. Step 2: Convert to fraction form
    174.24/259.80 = 148.68/x
  3. Step 3: Cross multiply
    174.24x = 259.80 × 148.68
  4. Step 4: Simplify right side
    174.24x = 38,627.06
  5. Step 5: Solve for x
    x = 38,627.06/174.24
  6. Step 6: Final answer
    x = 221.69

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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.