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Finding the Fourth Proportional to 275.81, 380.63 and 151.48

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Solution

The fourth proportional to 275.81, 380.63 and 151.48 is: 209.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    275.81 : 380.63 = 151.48 : x
  2. Step 2: Convert to fraction form
    275.81/380.63 = 151.48/x
  3. Step 3: Cross multiply
    275.81x = 380.63 × 151.48
  4. Step 4: Simplify right side
    275.81x = 57,657.83
  5. Step 5: Solve for x
    x = 57,657.83/275.81
  6. Step 6: Final answer
    x = 209.05

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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.