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Finding the Fourth Proportional to 172.84, 238.98 and 165.19

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Solution

The fourth proportional to 172.84, 238.98 and 165.19 is: 228.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.84 : 238.98 = 165.19 : x
  2. Step 2: Convert to fraction form
    172.84/238.98 = 165.19/x
  3. Step 3: Cross multiply
    172.84x = 238.98 × 165.19
  4. Step 4: Simplify right side
    172.84x = 39,477.11
  5. Step 5: Solve for x
    x = 39,477.11/172.84
  6. Step 6: Final answer
    x = 228.40

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.