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Finding the Fourth Proportional to 558.25, 837.44 and 188.06

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Solution

The fourth proportional to 558.25, 837.44 and 188.06 is: 282.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.25 : 837.44 = 188.06 : x
  2. Step 2: Convert to fraction form
    558.25/837.44 = 188.06/x
  3. Step 3: Cross multiply
    558.25x = 837.44 × 188.06
  4. Step 4: Simplify right side
    558.25x = 157,488.08
  5. Step 5: Solve for x
    x = 157,488.08/558.25
  6. Step 6: Final answer
    x = 282.11

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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.