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Finding the Fourth Proportional to 259.23, 357.71 and 154.34

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Solution

The fourth proportional to 259.23, 357.71 and 154.34 is: 212.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    259.23 : 357.71 = 154.34 : x
  2. Step 2: Convert to fraction form
    259.23/357.71 = 154.34/x
  3. Step 3: Cross multiply
    259.23x = 357.71 × 154.34
  4. Step 4: Simplify right side
    259.23x = 55,206.40
  5. Step 5: Solve for x
    x = 55,206.40/259.23
  6. Step 6: Final answer
    x = 212.96

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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.