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Finding the Fourth Proportional to 280.10, 386.70 and 186.98

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Solution

The fourth proportional to 280.10, 386.70 and 186.98 is: 258.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    280.10 : 386.70 = 186.98 : x
  2. Step 2: Convert to fraction form
    280.10/386.70 = 186.98/x
  3. Step 3: Cross multiply
    280.10x = 386.70 × 186.98
  4. Step 4: Simplify right side
    280.10x = 72,305.17
  5. Step 5: Solve for x
    x = 72,305.17/280.10
  6. Step 6: Final answer
    x = 258.14

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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.