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Finding the Fourth Proportional to 289.19, 433.20 and 228.14

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Solution

The fourth proportional to 289.19, 433.20 and 228.14 is: 341.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.19 : 433.20 = 228.14 : x
  2. Step 2: Convert to fraction form
    289.19/433.20 = 228.14/x
  3. Step 3: Cross multiply
    289.19x = 433.20 × 228.14
  4. Step 4: Simplify right side
    289.19x = 98,828.08
  5. Step 5: Solve for x
    x = 98,828.08/289.19
  6. Step 6: Final answer
    x = 341.75

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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.