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Finding the Fourth Proportional to 172.35, 259.65 and 156.74

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Solution

The fourth proportional to 172.35, 259.65 and 156.74 is: 236.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    172.35 : 259.65 = 156.74 : x
  2. Step 2: Convert to fraction form
    172.35/259.65 = 156.74/x
  3. Step 3: Cross multiply
    172.35x = 259.65 × 156.74
  4. Step 4: Simplify right side
    172.35x = 40,696.24
  5. Step 5: Solve for x
    x = 40,696.24/172.35
  6. Step 6: Final answer
    x = 236.13

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.