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Finding the Fourth Proportional to 364.61, 503.15 and 198.81

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Solution

The fourth proportional to 364.61, 503.15 and 198.81 is: 274.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    364.61 : 503.15 = 198.81 : x
  2. Step 2: Convert to fraction form
    364.61/503.15 = 198.81/x
  3. Step 3: Cross multiply
    364.61x = 503.15 × 198.81
  4. Step 4: Simplify right side
    364.61x = 100,030.26
  5. Step 5: Solve for x
    x = 100,030.26/364.61
  6. Step 6: Final answer
    x = 274.35

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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.