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Finding the Fourth Proportional to 458.44, 632.74 and 272.06

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Solution

The fourth proportional to 458.44, 632.74 and 272.06 is: 375.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    458.44 : 632.74 = 272.06 : x
  2. Step 2: Convert to fraction form
    458.44/632.74 = 272.06/x
  3. Step 3: Cross multiply
    458.44x = 632.74 × 272.06
  4. Step 4: Simplify right side
    458.44x = 172,143.24
  5. Step 5: Solve for x
    x = 172,143.24/458.44
  6. Step 6: Final answer
    x = 375.50

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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.