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Finding the Fourth Proportional to 312.98, 431.96 and 260.45

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Solution

The fourth proportional to 312.98, 431.96 and 260.45 is: 359.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    312.98 : 431.96 = 260.45 : x
  2. Step 2: Convert to fraction form
    312.98/431.96 = 260.45/x
  3. Step 3: Cross multiply
    312.98x = 431.96 × 260.45
  4. Step 4: Simplify right side
    312.98x = 112,503.60
  5. Step 5: Solve for x
    x = 112,503.60/312.98
  6. Step 6: Final answer
    x = 359.47

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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.