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Finding the Fourth Proportional to 289.06, 430.79 and 260.44

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Solution

The fourth proportional to 289.06, 430.79 and 260.44 is: 388.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.06 : 430.79 = 260.44 : x
  2. Step 2: Convert to fraction form
    289.06/430.79 = 260.44/x
  3. Step 3: Cross multiply
    289.06x = 430.79 × 260.44
  4. Step 4: Simplify right side
    289.06x = 112,194.95
  5. Step 5: Solve for x
    x = 112,194.95/289.06
  6. Step 6: Final answer
    x = 388.14

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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.