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Finding the Fourth Proportional to 583.05, 874.58 and 150.20

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Solution

The fourth proportional to 583.05, 874.58 and 150.20 is: 225.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    583.05 : 874.58 = 150.20 : x
  2. Step 2: Convert to fraction form
    583.05/874.58 = 150.20/x
  3. Step 3: Cross multiply
    583.05x = 874.58 × 150.20
  4. Step 4: Simplify right side
    583.05x = 131,361.92
  5. Step 5: Solve for x
    x = 131,361.92/583.05
  6. Step 6: Final answer
    x = 225.30

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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.