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Finding the Fourth Proportional to 425.41, 637.55 and 181.63

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Solution

The fourth proportional to 425.41, 637.55 and 181.63 is: 272.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    425.41 : 637.55 = 181.63 : x
  2. Step 2: Convert to fraction form
    425.41/637.55 = 181.63/x
  3. Step 3: Cross multiply
    425.41x = 637.55 × 181.63
  4. Step 4: Simplify right side
    425.41x = 115,798.21
  5. Step 5: Solve for x
    x = 115,798.21/425.41
  6. Step 6: Final answer
    x = 272.20

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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.