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Finding the Fourth Proportional to 448.88, 619.64 and 294.08

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Solution

The fourth proportional to 448.88, 619.64 and 294.08 is: 405.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    448.88 : 619.64 = 294.08 : x
  2. Step 2: Convert to fraction form
    448.88/619.64 = 294.08/x
  3. Step 3: Cross multiply
    448.88x = 619.64 × 294.08
  4. Step 4: Simplify right side
    448.88x = 182,219.16
  5. Step 5: Solve for x
    x = 182,219.16/448.88
  6. Step 6: Final answer
    x = 405.95

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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.