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Finding the Fourth Proportional to 449.46, 619.52 and 360.63

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Solution

The fourth proportional to 449.46, 619.52 and 360.63 is: 497.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.46 : 619.52 = 360.63 : x
  2. Step 2: Convert to fraction form
    449.46/619.52 = 360.63/x
  3. Step 3: Cross multiply
    449.46x = 619.52 × 360.63
  4. Step 4: Simplify right side
    449.46x = 223,415.69
  5. Step 5: Solve for x
    x = 223,415.69/449.46
  6. Step 6: Final answer
    x = 497.08

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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.