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Finding the Fourth Proportional to 729.94, 1,094.82 and 242.98

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Solution

The fourth proportional to 729.94, 1,094.82 and 242.98 is: 364.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    729.94 : 1,094.82 = 242.98 : x
  2. Step 2: Convert to fraction form
    729.94/1,094.82 = 242.98/x
  3. Step 3: Cross multiply
    729.94x = 1,094.82 × 242.98
  4. Step 4: Simplify right side
    729.94x = 266,019.36
  5. Step 5: Solve for x
    x = 266,019.36/729.94
  6. Step 6: Final answer
    x = 364.44

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.