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Finding the Fourth Proportional to 491.35, 678.12 and 294.92

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Solution

The fourth proportional to 491.35, 678.12 and 294.92 is: 407.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    491.35 : 678.12 = 294.92 : x
  2. Step 2: Convert to fraction form
    491.35/678.12 = 294.92/x
  3. Step 3: Cross multiply
    491.35x = 678.12 × 294.92
  4. Step 4: Simplify right side
    491.35x = 199,992.85
  5. Step 5: Solve for x
    x = 199,992.85/491.35
  6. Step 6: Final answer
    x = 407.03

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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.