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Finding the Fourth Proportional to 494.17, 740.78 and 205.45

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Solution

The fourth proportional to 494.17, 740.78 and 205.45 is: 307.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.17 : 740.78 = 205.45 : x
  2. Step 2: Convert to fraction form
    494.17/740.78 = 205.45/x
  3. Step 3: Cross multiply
    494.17x = 740.78 × 205.45
  4. Step 4: Simplify right side
    494.17x = 152,192.22
  5. Step 5: Solve for x
    x = 152,192.22/494.17
  6. Step 6: Final answer
    x = 307.98

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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.