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Finding the Fourth Proportional to 1,220.90, 1,830.80 and 355.02

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Solution

The fourth proportional to 1,220.90, 1,830.80 and 355.02 is: 532.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,220.90 : 1,830.80 = 355.02 : x
  2. Step 2: Convert to fraction form
    1,220.90/1,830.80 = 355.02/x
  3. Step 3: Cross multiply
    1,220.90x = 1,830.80 × 355.02
  4. Step 4: Simplify right side
    1,220.90x = 649,970.62
  5. Step 5: Solve for x
    x = 649,970.62/1,220.90
  6. Step 6: Final answer
    x = 532.37

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.