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Finding the Fourth Proportional to 449.14, 619.65 and 294.10

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Solution

The fourth proportional to 449.14, 619.65 and 294.10 is: 405.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.14 : 619.65 = 294.10 : x
  2. Step 2: Convert to fraction form
    449.14/619.65 = 294.10/x
  3. Step 3: Cross multiply
    449.14x = 619.65 × 294.10
  4. Step 4: Simplify right side
    449.14x = 182,239.07
  5. Step 5: Solve for x
    x = 182,239.07/449.14
  6. Step 6: Final answer
    x = 405.75

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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.