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Finding the Fourth Proportional to 494.05, 681.40 and 307.43

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Solution

The fourth proportional to 494.05, 681.40 and 307.43 is: 424.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    494.05 : 681.40 = 307.43 : x
  2. Step 2: Convert to fraction form
    494.05/681.40 = 307.43/x
  3. Step 3: Cross multiply
    494.05x = 681.40 × 307.43
  4. Step 4: Simplify right side
    494.05x = 209,480.61
  5. Step 5: Solve for x
    x = 209,480.61/494.05
  6. Step 6: Final answer
    x = 424.01

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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.