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Finding the Fourth Proportional to 338.55, 466.34 and 260.79

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Solution

The fourth proportional to 338.55, 466.34 and 260.79 is: 359.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    338.55 : 466.34 = 260.79 : x
  2. Step 2: Convert to fraction form
    338.55/466.34 = 260.79/x
  3. Step 3: Cross multiply
    338.55x = 466.34 × 260.79
  4. Step 4: Simplify right side
    338.55x = 121,615.50
  5. Step 5: Solve for x
    x = 121,615.50/338.55
  6. Step 6: Final answer
    x = 359.22

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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.