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Finding the Fourth Proportional to 312.36, 470.31 and 281.40

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Solution

The fourth proportional to 312.36, 470.31 and 281.40 is: 423.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.36 : 470.31 = 281.40 : x
  2. Step 2: Convert to fraction form
    312.36/470.31 = 281.40/x
  3. Step 3: Cross multiply
    312.36x = 470.31 × 281.40
  4. Step 4: Simplify right side
    312.36x = 132,345.23
  5. Step 5: Solve for x
    x = 132,345.23/312.36
  6. Step 6: Final answer
    x = 423.69

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.