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Finding the Fourth Proportional to 264.24, 364.77 and 198.77

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Solution

The fourth proportional to 264.24, 364.77 and 198.77 is: 274.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.24 : 364.77 = 198.77 : x
  2. Step 2: Convert to fraction form
    264.24/364.77 = 198.77/x
  3. Step 3: Cross multiply
    264.24x = 364.77 × 198.77
  4. Step 4: Simplify right side
    264.24x = 72,503.51
  5. Step 5: Solve for x
    x = 72,503.51/264.24
  6. Step 6: Final answer
    x = 274.39

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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.