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Finding the Fourth Proportional to 268.59, 370.70 and 202.98

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Solution

The fourth proportional to 268.59, 370.70 and 202.98 is: 280.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.59 : 370.70 = 202.98 : x
  2. Step 2: Convert to fraction form
    268.59/370.70 = 202.98/x
  3. Step 3: Cross multiply
    268.59x = 370.70 × 202.98
  4. Step 4: Simplify right side
    268.59x = 75,244.69
  5. Step 5: Solve for x
    x = 75,244.69/268.59
  6. Step 6: Final answer
    x = 280.15

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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.