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Finding the Fourth Proportional to 458.75, 633.05 and 272.25

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Solution

The fourth proportional to 458.75, 633.05 and 272.25 is: 375.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.75 : 633.05 = 272.25 : x
  2. Step 2: Convert to fraction form
    458.75/633.05 = 272.25/x
  3. Step 3: Cross multiply
    458.75x = 633.05 × 272.25
  4. Step 4: Simplify right side
    458.75x = 172,346.50
  5. Step 5: Solve for x
    x = 172,346.50/458.75
  6. Step 6: Final answer
    x = 375.69

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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.