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Finding the Fourth Proportional to 260.19, 389.14 and 231.51

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Solution

The fourth proportional to 260.19, 389.14 and 231.51 is: 346.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.19 : 389.14 = 231.51 : x
  2. Step 2: Convert to fraction form
    260.19/389.14 = 231.51/x
  3. Step 3: Cross multiply
    260.19x = 389.14 × 231.51
  4. Step 4: Simplify right side
    260.19x = 90,089.07
  5. Step 5: Solve for x
    x = 90,089.07/260.19
  6. Step 6: Final answer
    x = 346.24

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.