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Finding the Fourth Proportional to 445.64, 614.50 and 312.83

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Solution

The fourth proportional to 445.64, 614.50 and 312.83 is: 431.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    445.64 : 614.50 = 312.83 : x
  2. Step 2: Convert to fraction form
    445.64/614.50 = 312.83/x
  3. Step 3: Cross multiply
    445.64x = 614.50 × 312.83
  4. Step 4: Simplify right side
    445.64x = 192,232.48
  5. Step 5: Solve for x
    x = 192,232.48/445.64
  6. Step 6: Final answer
    x = 431.37

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.