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Finding the Fourth Proportional to 301.07, 452.10 and 285.68

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Solution

The fourth proportional to 301.07, 452.10 and 285.68 is: 428.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    301.07 : 452.10 = 285.68 : x
  2. Step 2: Convert to fraction form
    301.07/452.10 = 285.68/x
  3. Step 3: Cross multiply
    301.07x = 452.10 × 285.68
  4. Step 4: Simplify right side
    301.07x = 129,155.93
  5. Step 5: Solve for x
    x = 129,155.93/301.07
  6. Step 6: Final answer
    x = 428.99

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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.