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Finding the Fourth Proportional to 1,461.86, 2,192.78 and 366.21

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Solution

The fourth proportional to 1,461.86, 2,192.78 and 366.21 is: 549.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,461.86 : 2,192.78 = 366.21 : x
  2. Step 2: Convert to fraction form
    1,461.86/2,192.78 = 366.21/x
  3. Step 3: Cross multiply
    1,461.86x = 2,192.78 × 366.21
  4. Step 4: Simplify right side
    1,461.86x = 803,016.13
  5. Step 5: Solve for x
    x = 803,016.13/1,461.86
  6. Step 6: Final answer
    x = 549.31

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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.