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Finding the Fourth Proportional to 280.47, 386.61 and 192.99

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Solution

The fourth proportional to 280.47, 386.61 and 192.99 is: 266.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.47 : 386.61 = 192.99 : x
  2. Step 2: Convert to fraction form
    280.47/386.61 = 192.99/x
  3. Step 3: Cross multiply
    280.47x = 386.61 × 192.99
  4. Step 4: Simplify right side
    280.47x = 74,611.86
  5. Step 5: Solve for x
    x = 74,611.86/280.47
  6. Step 6: Final answer
    x = 266.02

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.