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Finding the Fourth Proportional to 312.26, 470.51 and 259.34

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Solution

The fourth proportional to 312.26, 470.51 and 259.34 is: 390.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.26 : 470.51 = 259.34 : x
  2. Step 2: Convert to fraction form
    312.26/470.51 = 259.34/x
  3. Step 3: Cross multiply
    312.26x = 470.51 × 259.34
  4. Step 4: Simplify right side
    312.26x = 122,020.77
  5. Step 5: Solve for x
    x = 122,020.77/312.26
  6. Step 6: Final answer
    x = 390.77

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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.