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Finding the Fourth Proportional to 556.99, 835.41 and 146.12

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Solution

The fourth proportional to 556.99, 835.41 and 146.12 is: 219.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    556.99 : 835.41 = 146.12 : x
  2. Step 2: Convert to fraction form
    556.99/835.41 = 146.12/x
  3. Step 3: Cross multiply
    556.99x = 835.41 × 146.12
  4. Step 4: Simplify right side
    556.99x = 122,072.20
  5. Step 5: Solve for x
    x = 122,072.20/556.99
  6. Step 6: Final answer
    x = 219.17

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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.