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Finding the Fourth Proportional to 180.37, 247.38 and 172.93

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Solution

The fourth proportional to 180.37, 247.38 and 172.93 is: 237.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    180.37 : 247.38 = 172.93 : x
  2. Step 2: Convert to fraction form
    180.37/247.38 = 172.93/x
  3. Step 3: Cross multiply
    180.37x = 247.38 × 172.93
  4. Step 4: Simplify right side
    180.37x = 42,779.43
  5. Step 5: Solve for x
    x = 42,779.43/180.37
  6. Step 6: Final answer
    x = 237.17

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.