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Finding the Fourth Proportional to 283.04, 390.08 and 200.02

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Solution

The fourth proportional to 283.04, 390.08 and 200.02 is: 275.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    283.04 : 390.08 = 200.02 : x
  2. Step 2: Convert to fraction form
    283.04/390.08 = 200.02/x
  3. Step 3: Cross multiply
    283.04x = 390.08 × 200.02
  4. Step 4: Simplify right side
    283.04x = 78,021.83
  5. Step 5: Solve for x
    x = 78,021.83/283.04
  6. Step 6: Final answer
    x = 275.65

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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.