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Finding the Fourth Proportional to 493.94, 681.78 and 307.33

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Solution

The fourth proportional to 493.94, 681.78 and 307.33 is: 424.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.94 : 681.78 = 307.33 : x
  2. Step 2: Convert to fraction form
    493.94/681.78 = 307.33/x
  3. Step 3: Cross multiply
    493.94x = 681.78 × 307.33
  4. Step 4: Simplify right side
    493.94x = 209,531.45
  5. Step 5: Solve for x
    x = 209,531.45/493.94
  6. Step 6: Final answer
    x = 424.20

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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.