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Finding the Fourth Proportional to 260.36, 390.63 and 183.14

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Solution

The fourth proportional to 260.36, 390.63 and 183.14 is: 274.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.36 : 390.63 = 183.14 : x
  2. Step 2: Convert to fraction form
    260.36/390.63 = 183.14/x
  3. Step 3: Cross multiply
    260.36x = 390.63 × 183.14
  4. Step 4: Simplify right side
    260.36x = 71,539.98
  5. Step 5: Solve for x
    x = 71,539.98/260.36
  6. Step 6: Final answer
    x = 274.77

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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.