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Finding the Fourth Proportional to 173.96, 259.86 and 148.16

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Solution

The fourth proportional to 173.96, 259.86 and 148.16 is: 221.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.96 : 259.86 = 148.16 : x
  2. Step 2: Convert to fraction form
    173.96/259.86 = 148.16/x
  3. Step 3: Cross multiply
    173.96x = 259.86 × 148.16
  4. Step 4: Simplify right side
    173.96x = 38,500.86
  5. Step 5: Solve for x
    x = 38,500.86/173.96
  6. Step 6: Final answer
    x = 221.32

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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.