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Finding the Fourth Proportional to 280.19, 386.54 and 197.35

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Solution

The fourth proportional to 280.19, 386.54 and 197.35 is: 272.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.19 : 386.54 = 197.35 : x
  2. Step 2: Convert to fraction form
    280.19/386.54 = 197.35/x
  3. Step 3: Cross multiply
    280.19x = 386.54 × 197.35
  4. Step 4: Simplify right side
    280.19x = 76,283.67
  5. Step 5: Solve for x
    x = 76,283.67/280.19
  6. Step 6: Final answer
    x = 272.26

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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.