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Finding the Fourth Proportional to 289.06, 431.35 and 263.19

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Solution

The fourth proportional to 289.06, 431.35 and 263.19 is: 392.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.06 : 431.35 = 263.19 : x
  2. Step 2: Convert to fraction form
    289.06/431.35 = 263.19/x
  3. Step 3: Cross multiply
    289.06x = 431.35 × 263.19
  4. Step 4: Simplify right side
    289.06x = 113,527.01
  5. Step 5: Solve for x
    x = 113,527.01/289.06
  6. Step 6: Final answer
    x = 392.75

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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.