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Finding the Fourth Proportional to 235.71, 322.99 and 230.45

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Solution

The fourth proportional to 235.71, 322.99 and 230.45 is: 315.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.71 : 322.99 = 230.45 : x
  2. Step 2: Convert to fraction form
    235.71/322.99 = 230.45/x
  3. Step 3: Cross multiply
    235.71x = 322.99 × 230.45
  4. Step 4: Simplify right side
    235.71x = 74,430.85
  5. Step 5: Solve for x
    x = 74,430.85/235.71
  6. Step 6: Final answer
    x = 315.77

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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.