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Finding the Fourth Proportional to 582.08, 873.26 and 192.14

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Solution

The fourth proportional to 582.08, 873.26 and 192.14 is: 288.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    582.08 : 873.26 = 192.14 : x
  2. Step 2: Convert to fraction form
    582.08/873.26 = 192.14/x
  3. Step 3: Cross multiply
    582.08x = 873.26 × 192.14
  4. Step 4: Simplify right side
    582.08x = 167,782.85
  5. Step 5: Solve for x
    x = 167,782.85/582.08
  6. Step 6: Final answer
    x = 288.25

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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.