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Finding the Fourth Proportional to 356.78, 492.10 and 301.80

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Solution

The fourth proportional to 356.78, 492.10 and 301.80 is: 416.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.78 : 492.10 = 301.80 : x
  2. Step 2: Convert to fraction form
    356.78/492.10 = 301.80/x
  3. Step 3: Cross multiply
    356.78x = 492.10 × 301.80
  4. Step 4: Simplify right side
    356.78x = 148,515.78
  5. Step 5: Solve for x
    x = 148,515.78/356.78
  6. Step 6: Final answer
    x = 416.27

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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.