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Finding the Fourth Proportional to 454.21, 680.44 and 307.24

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Solution

The fourth proportional to 454.21, 680.44 and 307.24 is: 460.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.21 : 680.44 = 307.24 : x
  2. Step 2: Convert to fraction form
    454.21/680.44 = 307.24/x
  3. Step 3: Cross multiply
    454.21x = 680.44 × 307.24
  4. Step 4: Simplify right side
    454.21x = 209,056.40
  5. Step 5: Solve for x
    x = 209,056.40/454.21
  6. Step 6: Final answer
    x = 460.27

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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.