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Finding the Fourth Proportional to 443.07, 663.62 and 288.53

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Solution

The fourth proportional to 443.07, 663.62 and 288.53 is: 432.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    443.07 : 663.62 = 288.53 : x
  2. Step 2: Convert to fraction form
    443.07/663.62 = 288.53/x
  3. Step 3: Cross multiply
    443.07x = 663.62 × 288.53
  4. Step 4: Simplify right side
    443.07x = 191,469.52
  5. Step 5: Solve for x
    x = 191,469.52/443.07
  6. Step 6: Final answer
    x = 432.14

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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.