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Finding the Fourth Proportional to 260.96, 392.88 and 203.51

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Solution

The fourth proportional to 260.96, 392.88 and 203.51 is: 306.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    260.96 : 392.88 = 203.51 : x
  2. Step 2: Convert to fraction form
    260.96/392.88 = 203.51/x
  3. Step 3: Cross multiply
    260.96x = 392.88 × 203.51
  4. Step 4: Simplify right side
    260.96x = 79,956.75
  5. Step 5: Solve for x
    x = 79,956.75/260.96
  6. Step 6: Final answer
    x = 306.40

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.