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Finding the Fourth Proportional to 557.37, 835.86 and 192.07

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Solution

The fourth proportional to 557.37, 835.86 and 192.07 is: 288.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    557.37 : 835.86 = 192.07 : x
  2. Step 2: Convert to fraction form
    557.37/835.86 = 192.07/x
  3. Step 3: Cross multiply
    557.37x = 835.86 × 192.07
  4. Step 4: Simplify right side
    557.37x = 160,543.63
  5. Step 5: Solve for x
    x = 160,543.63/557.37
  6. Step 6: Final answer
    x = 288.04

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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.