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Finding the Fourth Proportional to 172.96, 258.35 and 147.16

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Solution

The fourth proportional to 172.96, 258.35 and 147.16 is: 219.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.96 : 258.35 = 147.16 : x
  2. Step 2: Convert to fraction form
    172.96/258.35 = 147.16/x
  3. Step 3: Cross multiply
    172.96x = 258.35 × 147.16
  4. Step 4: Simplify right side
    172.96x = 38,018.79
  5. Step 5: Solve for x
    x = 38,018.79/172.96
  6. Step 6: Final answer
    x = 219.81

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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.