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Finding the Fourth Proportional to 654.37, 981.50 and 243.33

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Solution

The fourth proportional to 654.37, 981.50 and 243.33 is: 364.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.37 : 981.50 = 243.33 : x
  2. Step 2: Convert to fraction form
    654.37/981.50 = 243.33/x
  3. Step 3: Cross multiply
    654.37x = 981.50 × 243.33
  4. Step 4: Simplify right side
    654.37x = 238,828.40
  5. Step 5: Solve for x
    x = 238,828.40/654.37
  6. Step 6: Final answer
    x = 364.97

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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.