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Finding the Fourth Proportional to 288.08, 434.48 and 278.84

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Solution

The fourth proportional to 288.08, 434.48 and 278.84 is: 420.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.08 : 434.48 = 278.84 : x
  2. Step 2: Convert to fraction form
    288.08/434.48 = 278.84/x
  3. Step 3: Cross multiply
    288.08x = 434.48 × 278.84
  4. Step 4: Simplify right side
    288.08x = 121,146.84
  5. Step 5: Solve for x
    x = 121,146.84/288.08
  6. Step 6: Final answer
    x = 420.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.