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Finding the Fourth Proportional to 557.59, 835.87 and 192.29

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Solution

The fourth proportional to 557.59, 835.87 and 192.29 is: 288.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.59 : 835.87 = 192.29 : x
  2. Step 2: Convert to fraction form
    557.59/835.87 = 192.29/x
  3. Step 3: Cross multiply
    557.59x = 835.87 × 192.29
  4. Step 4: Simplify right side
    557.59x = 160,728.48
  5. Step 5: Solve for x
    x = 160,728.48/557.59
  6. Step 6: Final answer
    x = 288.26

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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.