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Finding the Fourth Proportional to 289.50, 433.84 and 152.47

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Solution

The fourth proportional to 289.50, 433.84 and 152.47 is: 228.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    289.50 : 433.84 = 152.47 : x
  2. Step 2: Convert to fraction form
    289.50/433.84 = 152.47/x
  3. Step 3: Cross multiply
    289.50x = 433.84 × 152.47
  4. Step 4: Simplify right side
    289.50x = 66,147.58
  5. Step 5: Solve for x
    x = 66,147.58/289.50
  6. Step 6: Final answer
    x = 228.49

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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.