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Finding the Fourth Proportional to 230.63, 318.47 and 172.31

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Solution

The fourth proportional to 230.63, 318.47 and 172.31 is: 237.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    230.63 : 318.47 = 172.31 : x
  2. Step 2: Convert to fraction form
    230.63/318.47 = 172.31/x
  3. Step 3: Cross multiply
    230.63x = 318.47 × 172.31
  4. Step 4: Simplify right side
    230.63x = 54,873.11
  5. Step 5: Solve for x
    x = 54,873.11/230.63
  6. Step 6: Final answer
    x = 237.93

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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.