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Finding the Fourth Proportional to 200.40, 308.40 and 200.40

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Solution

The fourth proportional to 200.40, 308.40 and 200.40 is: 308.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.40 : 308.40 = 200.40 : x
  2. Step 2: Convert to fraction form
    200.40/308.40 = 200.40/x
  3. Step 3: Cross multiply
    200.40x = 308.40 × 200.40
  4. Step 4: Simplify right side
    200.40x = 61,803.36
  5. Step 5: Solve for x
    x = 61,803.36/200.40
  6. Step 6: Final answer
    x = 308.40

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.