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Finding the Fourth Proportional to 172.12, 256.79 and 156.40

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Solution

The fourth proportional to 172.12, 256.79 and 156.40 is: 233.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.12 : 256.79 = 156.40 : x
  2. Step 2: Convert to fraction form
    172.12/256.79 = 156.40/x
  3. Step 3: Cross multiply
    172.12x = 256.79 × 156.40
  4. Step 4: Simplify right side
    172.12x = 40,161.96
  5. Step 5: Solve for x
    x = 40,161.96/172.12
  6. Step 6: Final answer
    x = 233.34

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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.