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Finding the Fourth Proportional to 558.82, 837.65 and 193.48

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Solution

The fourth proportional to 558.82, 837.65 and 193.48 is: 290.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    558.82 : 837.65 = 193.48 : x
  2. Step 2: Convert to fraction form
    558.82/837.65 = 193.48/x
  3. Step 3: Cross multiply
    558.82x = 837.65 × 193.48
  4. Step 4: Simplify right side
    558.82x = 162,068.52
  5. Step 5: Solve for x
    x = 162,068.52/558.82
  6. Step 6: Final answer
    x = 290.02

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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.