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Finding the Fourth Proportional to 259.35, 388.53 and 150.81

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Solution

The fourth proportional to 259.35, 388.53 and 150.81 is: 225.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.35 : 388.53 = 150.81 : x
  2. Step 2: Convert to fraction form
    259.35/388.53 = 150.81/x
  3. Step 3: Cross multiply
    259.35x = 388.53 × 150.81
  4. Step 4: Simplify right side
    259.35x = 58,594.21
  5. Step 5: Solve for x
    x = 58,594.21/259.35
  6. Step 6: Final answer
    x = 225.93

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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.