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Finding the Fourth Proportional to 301.08, 448.85 and 278.04

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Solution

The fourth proportional to 301.08, 448.85 and 278.04 is: 414.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.08 : 448.85 = 278.04 : x
  2. Step 2: Convert to fraction form
    301.08/448.85 = 278.04/x
  3. Step 3: Cross multiply
    301.08x = 448.85 × 278.04
  4. Step 4: Simplify right side
    301.08x = 124,798.25
  5. Step 5: Solve for x
    x = 124,798.25/301.08
  6. Step 6: Final answer
    x = 414.50

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.