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Finding the Fourth Proportional to 260.47, 392.37 and 219.46

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Solution

The fourth proportional to 260.47, 392.37 and 219.46 is: 330.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.47 : 392.37 = 219.46 : x
  2. Step 2: Convert to fraction form
    260.47/392.37 = 219.46/x
  3. Step 3: Cross multiply
    260.47x = 392.37 × 219.46
  4. Step 4: Simplify right side
    260.47x = 86,109.07
  5. Step 5: Solve for x
    x = 86,109.07/260.47
  6. Step 6: Final answer
    x = 330.60

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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.