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Finding the Fourth Proportional to 260.02, 389.57 and 186.51

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Solution

The fourth proportional to 260.02, 389.57 and 186.51 is: 279.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.02 : 389.57 = 186.51 : x
  2. Step 2: Convert to fraction form
    260.02/389.57 = 186.51/x
  3. Step 3: Cross multiply
    260.02x = 389.57 × 186.51
  4. Step 4: Simplify right side
    260.02x = 72,659.17
  5. Step 5: Solve for x
    x = 72,659.17/260.02
  6. Step 6: Final answer
    x = 279.44

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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.