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Finding the Fourth Proportional to 280.47, 386.64 and 214.86

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Solution

The fourth proportional to 280.47, 386.64 and 214.86 is: 296.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.47 : 386.64 = 214.86 : x
  2. Step 2: Convert to fraction form
    280.47/386.64 = 214.86/x
  3. Step 3: Cross multiply
    280.47x = 386.64 × 214.86
  4. Step 4: Simplify right side
    280.47x = 83,073.47
  5. Step 5: Solve for x
    x = 83,073.47/280.47
  6. Step 6: Final answer
    x = 296.19

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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.