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Finding the Fourth Proportional to 289.40, 433.64 and 127.04

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Solution

The fourth proportional to 289.40, 433.64 and 127.04 is: 190.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.40 : 433.64 = 127.04 : x
  2. Step 2: Convert to fraction form
    289.40/433.64 = 127.04/x
  3. Step 3: Cross multiply
    289.40x = 433.64 × 127.04
  4. Step 4: Simplify right side
    289.40x = 55,089.63
  5. Step 5: Solve for x
    x = 55,089.63/289.40
  6. Step 6: Final answer
    x = 190.36

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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.