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Finding the Fourth Proportional to 454.68, 627.30 and 299.16

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Solution

The fourth proportional to 454.68, 627.30 and 299.16 is: 412.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.68 : 627.30 = 299.16 : x
  2. Step 2: Convert to fraction form
    454.68/627.30 = 299.16/x
  3. Step 3: Cross multiply
    454.68x = 627.30 × 299.16
  4. Step 4: Simplify right side
    454.68x = 187,663.07
  5. Step 5: Solve for x
    x = 187,663.07/454.68
  6. Step 6: Final answer
    x = 412.74

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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.