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Finding the Fourth Proportional to 303.58, 452.18 and 289.54

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Solution

The fourth proportional to 303.58, 452.18 and 289.54 is: 431.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    303.58 : 452.18 = 289.54 : x
  2. Step 2: Convert to fraction form
    303.58/452.18 = 289.54/x
  3. Step 3: Cross multiply
    303.58x = 452.18 × 289.54
  4. Step 4: Simplify right side
    303.58x = 130,924.20
  5. Step 5: Solve for x
    x = 130,924.20/303.58
  6. Step 6: Final answer
    x = 431.27

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.