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Finding the Fourth Proportional to 280.11, 386.74 and 214.50

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Solution

The fourth proportional to 280.11, 386.74 and 214.50 is: 296.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.11 : 386.74 = 214.50 : x
  2. Step 2: Convert to fraction form
    280.11/386.74 = 214.50/x
  3. Step 3: Cross multiply
    280.11x = 386.74 × 214.50
  4. Step 4: Simplify right side
    280.11x = 82,953.26
  5. Step 5: Solve for x
    x = 82,953.26/280.11
  6. Step 6: Final answer
    x = 296.15

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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.