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Finding the Fourth Proportional to 280.41, 386.55 and 214.80

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Solution

The fourth proportional to 280.41, 386.55 and 214.80 is: 296.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.41 : 386.55 = 214.80 : x
  2. Step 2: Convert to fraction form
    280.41/386.55 = 214.80/x
  3. Step 3: Cross multiply
    280.41x = 386.55 × 214.80
  4. Step 4: Simplify right side
    280.41x = 83,030.94
  5. Step 5: Solve for x
    x = 83,030.94/280.41
  6. Step 6: Final answer
    x = 296.11

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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.