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Finding the Fourth Proportional to 282.84, 423.80 and 214.40

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Solution

The fourth proportional to 282.84, 423.80 and 214.40 is: 321.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    282.84 : 423.80 = 214.40 : x
  2. Step 2: Convert to fraction form
    282.84/423.80 = 214.40/x
  3. Step 3: Cross multiply
    282.84x = 423.80 × 214.40
  4. Step 4: Simplify right side
    282.84x = 90,862.72
  5. Step 5: Solve for x
    x = 90,862.72/282.84
  6. Step 6: Final answer
    x = 321.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.