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Finding the Fourth Proportional to 654.13, 981.22 and 258.80

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Solution

The fourth proportional to 654.13, 981.22 and 258.80 is: 388.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    654.13 : 981.22 = 258.80 : x
  2. Step 2: Convert to fraction form
    654.13/981.22 = 258.80/x
  3. Step 3: Cross multiply
    654.13x = 981.22 × 258.80
  4. Step 4: Simplify right side
    654.13x = 253,939.74
  5. Step 5: Solve for x
    x = 253,939.74/654.13
  6. Step 6: Final answer
    x = 388.21

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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.