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Finding the Fourth Proportional to 493.78, 681.60 and 307.46

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Solution

The fourth proportional to 493.78, 681.60 and 307.46 is: 424.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    493.78 : 681.60 = 307.46 : x
  2. Step 2: Convert to fraction form
    493.78/681.60 = 307.46/x
  3. Step 3: Cross multiply
    493.78x = 681.60 × 307.46
  4. Step 4: Simplify right side
    493.78x = 209,564.74
  5. Step 5: Solve for x
    x = 209,564.74/493.78
  6. Step 6: Final answer
    x = 424.41

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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.