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Finding the Fourth Proportional to 172.42, 258.15 and 156.20

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Solution

The fourth proportional to 172.42, 258.15 and 156.20 is: 233.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.42 : 258.15 = 156.20 : x
  2. Step 2: Convert to fraction form
    172.42/258.15 = 156.20/x
  3. Step 3: Cross multiply
    172.42x = 258.15 × 156.20
  4. Step 4: Simplify right side
    172.42x = 40,322.25
  5. Step 5: Solve for x
    x = 40,322.25/172.42
  6. Step 6: Final answer
    x = 233.86

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.