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Finding the Fourth Proportional to 302.40, 451.44 and 278.64

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Solution

The fourth proportional to 302.40, 451.44 and 278.64 is: 415.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.40 : 451.44 = 278.64 : x
  2. Step 2: Convert to fraction form
    302.40/451.44 = 278.64/x
  3. Step 3: Cross multiply
    302.40x = 451.44 × 278.64
  4. Step 4: Simplify right side
    302.40x = 125,789.24
  5. Step 5: Solve for x
    x = 125,789.24/302.40
  6. Step 6: Final answer
    x = 415.97

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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.