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Finding the Fourth Proportional to 445.53, 667.87 and 288.93

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Solution

The fourth proportional to 445.53, 667.87 and 288.93 is: 433.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.53 : 667.87 = 288.93 : x
  2. Step 2: Convert to fraction form
    445.53/667.87 = 288.93/x
  3. Step 3: Cross multiply
    445.53x = 667.87 × 288.93
  4. Step 4: Simplify right side
    445.53x = 192,967.68
  5. Step 5: Solve for x
    x = 192,967.68/445.53
  6. Step 6: Final answer
    x = 433.12

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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.