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Finding the Fourth Proportional to 454.10, 680.15 and 356.47

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Solution

The fourth proportional to 454.10, 680.15 and 356.47 is: 533.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.10 : 680.15 = 356.47 : x
  2. Step 2: Convert to fraction form
    454.10/680.15 = 356.47/x
  3. Step 3: Cross multiply
    454.10x = 680.15 × 356.47
  4. Step 4: Simplify right side
    454.10x = 242,452.26
  5. Step 5: Solve for x
    x = 242,452.26/454.10
  6. Step 6: Final answer
    x = 533.92

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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.