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Finding the Fourth Proportional to 277.53, 382.99 and 151.50

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Solution

The fourth proportional to 277.53, 382.99 and 151.50 is: 209.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.53 : 382.99 = 151.50 : x
  2. Step 2: Convert to fraction form
    277.53/382.99 = 151.50/x
  3. Step 3: Cross multiply
    277.53x = 382.99 × 151.50
  4. Step 4: Simplify right side
    277.53x = 58,023.25
  5. Step 5: Solve for x
    x = 58,023.25/277.53
  6. Step 6: Final answer
    x = 209.07

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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.