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Finding the Fourth Proportional to 235.90, 322.53 and 229.42

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Solution

The fourth proportional to 235.90, 322.53 and 229.42 is: 313.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.90 : 322.53 = 229.42 : x
  2. Step 2: Convert to fraction form
    235.90/322.53 = 229.42/x
  3. Step 3: Cross multiply
    235.90x = 322.53 × 229.42
  4. Step 4: Simplify right side
    235.90x = 73,994.83
  5. Step 5: Solve for x
    x = 73,994.83/235.90
  6. Step 6: Final answer
    x = 313.67

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.