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Finding the Fourth Proportional to 454.90, 627.65 and 258.34

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Solution

The fourth proportional to 454.90, 627.65 and 258.34 is: 356.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    454.90 : 627.65 = 258.34 : x
  2. Step 2: Convert to fraction form
    454.90/627.65 = 258.34/x
  3. Step 3: Cross multiply
    454.90x = 627.65 × 258.34
  4. Step 4: Simplify right side
    454.90x = 162,147.10
  5. Step 5: Solve for x
    x = 162,147.10/454.90
  6. Step 6: Final answer
    x = 356.45

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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.