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Finding the Fourth Proportional to 282.17, 386.57 and 271.65

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Solution

The fourth proportional to 282.17, 386.57 and 271.65 is: 372.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.17 : 386.57 = 271.65 : x
  2. Step 2: Convert to fraction form
    282.17/386.57 = 271.65/x
  3. Step 3: Cross multiply
    282.17x = 386.57 × 271.65
  4. Step 4: Simplify right side
    282.17x = 105,011.74
  5. Step 5: Solve for x
    x = 105,011.74/282.17
  6. Step 6: Final answer
    x = 372.16

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.