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Finding the Fourth Proportional to 449.16, 619.70 and 311.24

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Solution

The fourth proportional to 449.16, 619.70 and 311.24 is: 429.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    449.16 : 619.70 = 311.24 : x
  2. Step 2: Convert to fraction form
    449.16/619.70 = 311.24/x
  3. Step 3: Cross multiply
    449.16x = 619.70 × 311.24
  4. Step 4: Simplify right side
    449.16x = 192,875.43
  5. Step 5: Solve for x
    x = 192,875.43/449.16
  6. Step 6: Final answer
    x = 429.41

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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.