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Finding the Fourth Proportional to 282.65, 391.70 and 277.18

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Solution

The fourth proportional to 282.65, 391.70 and 277.18 is: 384.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.65 : 391.70 = 277.18 : x
  2. Step 2: Convert to fraction form
    282.65/391.70 = 277.18/x
  3. Step 3: Cross multiply
    282.65x = 391.70 × 277.18
  4. Step 4: Simplify right side
    282.65x = 108,570.02
  5. Step 5: Solve for x
    x = 108,570.02/282.65
  6. Step 6: Final answer
    x = 384.12

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.