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Finding the Fourth Proportional to 268.55, 370.42 and 202.34

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Solution

The fourth proportional to 268.55, 370.42 and 202.34 is: 279.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    268.55 : 370.42 = 202.34 : x
  2. Step 2: Convert to fraction form
    268.55/370.42 = 202.34/x
  3. Step 3: Cross multiply
    268.55x = 370.42 × 202.34
  4. Step 4: Simplify right side
    268.55x = 74,948.93
  5. Step 5: Solve for x
    x = 74,948.93/268.55
  6. Step 6: Final answer
    x = 279.08

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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.