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Finding the Fourth Proportional to 305.37, 455.34 and 299.91

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Solution

The fourth proportional to 305.37, 455.34 and 299.91 is: 447.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    305.37 : 455.34 = 299.91 : x
  2. Step 2: Convert to fraction form
    305.37/455.34 = 299.91/x
  3. Step 3: Cross multiply
    305.37x = 455.34 × 299.91
  4. Step 4: Simplify right side
    305.37x = 136,561.02
  5. Step 5: Solve for x
    x = 136,561.02/305.37
  6. Step 6: Final answer
    x = 447.20

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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.