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Finding the Fourth Proportional to 312.37, 431.04 and 172.46

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Solution

The fourth proportional to 312.37, 431.04 and 172.46 is: 237.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.37 : 431.04 = 172.46 : x
  2. Step 2: Convert to fraction form
    312.37/431.04 = 172.46/x
  3. Step 3: Cross multiply
    312.37x = 431.04 × 172.46
  4. Step 4: Simplify right side
    312.37x = 74,338.24
  5. Step 5: Solve for x
    x = 74,338.24/312.37
  6. Step 6: Final answer
    x = 237.98

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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.