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Finding the Fourth Proportional to 270.85, 407.76 and 248.53

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Solution

The fourth proportional to 270.85, 407.76 and 248.53 is: 374.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.85 : 407.76 = 248.53 : x
  2. Step 2: Convert to fraction form
    270.85/407.76 = 248.53/x
  3. Step 3: Cross multiply
    270.85x = 407.76 × 248.53
  4. Step 4: Simplify right side
    270.85x = 101,340.59
  5. Step 5: Solve for x
    x = 101,340.59/270.85
  6. Step 6: Final answer
    x = 374.16

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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.