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Finding the Fourth Proportional to 235.60, 322.53 and 227.40

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Solution

The fourth proportional to 235.60, 322.53 and 227.40 is: 311.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    235.60 : 322.53 = 227.40 : x
  2. Step 2: Convert to fraction form
    235.60/322.53 = 227.40/x
  3. Step 3: Cross multiply
    235.60x = 322.53 × 227.40
  4. Step 4: Simplify right side
    235.60x = 73,343.32
  5. Step 5: Solve for x
    x = 73,343.32/235.60
  6. Step 6: Final answer
    x = 311.30

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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.