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Finding the Fourth Proportional to 280.20, 386.34 and 233.64

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Solution

The fourth proportional to 280.20, 386.34 and 233.64 is: 322.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.20 : 386.34 = 233.64 : x
  2. Step 2: Convert to fraction form
    280.20/386.34 = 233.64/x
  3. Step 3: Cross multiply
    280.20x = 386.34 × 233.64
  4. Step 4: Simplify right side
    280.20x = 90,264.48
  5. Step 5: Solve for x
    x = 90,264.48/280.20
  6. Step 6: Final answer
    x = 322.14

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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.