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Finding the Fourth Proportional to 288.15, 434.05 and 280.86

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Solution

The fourth proportional to 288.15, 434.05 and 280.86 is: 423.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    288.15 : 434.05 = 280.86 : x
  2. Step 2: Convert to fraction form
    288.15/434.05 = 280.86/x
  3. Step 3: Cross multiply
    288.15x = 434.05 × 280.86
  4. Step 4: Simplify right side
    288.15x = 121,907.28
  5. Step 5: Solve for x
    x = 121,907.28/288.15
  6. Step 6: Final answer
    x = 423.07

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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.