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Finding the Fourth Proportional to 235.00, 324.37 and 188.53

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Solution

The fourth proportional to 235.00, 324.37 and 188.53 is: 260.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.00 : 324.37 = 188.53 : x
  2. Step 2: Convert to fraction form
    235.00/324.37 = 188.53/x
  3. Step 3: Cross multiply
    235.00x = 324.37 × 188.53
  4. Step 4: Simplify right side
    235.00x = 61,152.90
  5. Step 5: Solve for x
    x = 61,152.90/235.00
  6. Step 6: Final answer
    x = 260.22

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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.