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Finding the Fourth Proportional to 289.37, 434.66 and 279.65

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Solution

The fourth proportional to 289.37, 434.66 and 279.65 is: 420.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.37 : 434.66 = 279.65 : x
  2. Step 2: Convert to fraction form
    289.37/434.66 = 279.65/x
  3. Step 3: Cross multiply
    289.37x = 434.66 × 279.65
  4. Step 4: Simplify right side
    289.37x = 121,550.50
  5. Step 5: Solve for x
    x = 121,550.50/289.37
  6. Step 6: Final answer
    x = 420.06

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.