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Finding the Fourth Proportional to 289.69, 433.60 and 152.54

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Solution

The fourth proportional to 289.69, 433.60 and 152.54 is: 228.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.69 : 433.60 = 152.54 : x
  2. Step 2: Convert to fraction form
    289.69/433.60 = 152.54/x
  3. Step 3: Cross multiply
    289.69x = 433.60 × 152.54
  4. Step 4: Simplify right side
    289.69x = 66,141.34
  5. Step 5: Solve for x
    x = 66,141.34/289.69
  6. Step 6: Final answer
    x = 228.32

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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.