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Finding the Fourth Proportional to 235.40, 320.65 and 230.85

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Solution

The fourth proportional to 235.40, 320.65 and 230.85 is: 314.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.40 : 320.65 = 230.85 : x
  2. Step 2: Convert to fraction form
    235.40/320.65 = 230.85/x
  3. Step 3: Cross multiply
    235.40x = 320.65 × 230.85
  4. Step 4: Simplify right side
    235.40x = 74,021.48
  5. Step 5: Solve for x
    x = 74,021.48/235.40
  6. Step 6: Final answer
    x = 314.46

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.