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Finding the Fourth Proportional to 277.50, 382.98 and 159.48

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Solution

The fourth proportional to 277.50, 382.98 and 159.48 is: 220.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    277.50 : 382.98 = 159.48 : x
  2. Step 2: Convert to fraction form
    277.50/382.98 = 159.48/x
  3. Step 3: Cross multiply
    277.50x = 382.98 × 159.48
  4. Step 4: Simplify right side
    277.50x = 61,077.65
  5. Step 5: Solve for x
    x = 61,077.65/277.50
  6. Step 6: Final answer
    x = 220.10

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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.