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Finding the Fourth Proportional to 260.85, 389.35 and 230.10

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Solution

The fourth proportional to 260.85, 389.35 and 230.10 is: 343.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.85 : 389.35 = 230.10 : x
  2. Step 2: Convert to fraction form
    260.85/389.35 = 230.10/x
  3. Step 3: Cross multiply
    260.85x = 389.35 × 230.10
  4. Step 4: Simplify right side
    260.85x = 89,588.28
  5. Step 5: Solve for x
    x = 89,588.28/260.85
  6. Step 6: Final answer
    x = 343.45

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.