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Finding the Fourth Proportional to 200.03, 298.58 and 186.35

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Solution

The fourth proportional to 200.03, 298.58 and 186.35 is: 278.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    200.03 : 298.58 = 186.35 : x
  2. Step 2: Convert to fraction form
    200.03/298.58 = 186.35/x
  3. Step 3: Cross multiply
    200.03x = 298.58 × 186.35
  4. Step 4: Simplify right side
    200.03x = 55,637.96
  5. Step 5: Solve for x
    x = 55,637.96/200.03
  6. Step 6: Final answer
    x = 278.16

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.