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Finding the Fourth Proportional to 1,225.31, 1,838.00 and 359.65

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Solution

The fourth proportional to 1,225.31, 1,838.00 and 359.65 is: 539.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,225.31 : 1,838.00 = 359.65 : x
  2. Step 2: Convert to fraction form
    1,225.31/1,838.00 = 359.65/x
  3. Step 3: Cross multiply
    1,225.31x = 1,838.00 × 359.65
  4. Step 4: Simplify right side
    1,225.31x = 661,034.90
  5. Step 5: Solve for x
    x = 661,034.90/1,225.31
  6. Step 6: Final answer
    x = 539.48

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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.