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Finding the Fourth Proportional to 493.89, 681.30 and 307.41

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Solution

The fourth proportional to 493.89, 681.30 and 307.41 is: 424.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.89 : 681.30 = 307.41 : x
  2. Step 2: Convert to fraction form
    493.89/681.30 = 307.41/x
  3. Step 3: Cross multiply
    493.89x = 681.30 × 307.41
  4. Step 4: Simplify right side
    493.89x = 209,438.43
  5. Step 5: Solve for x
    x = 209,438.43/493.89
  6. Step 6: Final answer
    x = 424.06

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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.