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Finding the Fourth Proportional to 289.70, 406.30 and 289.70

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Solution

The fourth proportional to 289.70, 406.30 and 289.70 is: 406.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.70 : 406.30 = 289.70 : x
  2. Step 2: Convert to fraction form
    289.70/406.30 = 289.70/x
  3. Step 3: Cross multiply
    289.70x = 406.30 × 289.70
  4. Step 4: Simplify right side
    289.70x = 117,705.11
  5. Step 5: Solve for x
    x = 117,705.11/289.70
  6. Step 6: Final answer
    x = 406.30

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.