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Finding the Fourth Proportional to 180.05, 268.76 and 172.16

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Solution

The fourth proportional to 180.05, 268.76 and 172.16 is: 256.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.05 : 268.76 = 172.16 : x
  2. Step 2: Convert to fraction form
    180.05/268.76 = 172.16/x
  3. Step 3: Cross multiply
    180.05x = 268.76 × 172.16
  4. Step 4: Simplify right side
    180.05x = 46,269.72
  5. Step 5: Solve for x
    x = 46,269.72/180.05
  6. Step 6: Final answer
    x = 256.98

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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.