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Finding the Fourth Proportional to 289.84, 399.72 and 186.52

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Solution

The fourth proportional to 289.84, 399.72 and 186.52 is: 257.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.84 : 399.72 = 186.52 : x
  2. Step 2: Convert to fraction form
    289.84/399.72 = 186.52/x
  3. Step 3: Cross multiply
    289.84x = 399.72 × 186.52
  4. Step 4: Simplify right side
    289.84x = 74,555.77
  5. Step 5: Solve for x
    x = 74,555.77/289.84
  6. Step 6: Final answer
    x = 257.23

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.