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Finding the Fourth Proportional to 312.65, 431.43 and 172.77

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Solution

The fourth proportional to 312.65, 431.43 and 172.77 is: 238.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.65 : 431.43 = 172.77 : x
  2. Step 2: Convert to fraction form
    312.65/431.43 = 172.77/x
  3. Step 3: Cross multiply
    312.65x = 431.43 × 172.77
  4. Step 4: Simplify right side
    312.65x = 74,538.16
  5. Step 5: Solve for x
    x = 74,538.16/312.65
  6. Step 6: Final answer
    x = 238.41

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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.