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Finding the Fourth Proportional to 281.41, 424.63 and 270.18

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Solution

The fourth proportional to 281.41, 424.63 and 270.18 is: 407.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.41 : 424.63 = 270.18 : x
  2. Step 2: Convert to fraction form
    281.41/424.63 = 270.18/x
  3. Step 3: Cross multiply
    281.41x = 424.63 × 270.18
  4. Step 4: Simplify right side
    281.41x = 114,726.53
  5. Step 5: Solve for x
    x = 114,726.53/281.41
  6. Step 6: Final answer
    x = 407.68

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.