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Finding the Fourth Proportional to 233.68, 320.54 and 228.88

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Solution

The fourth proportional to 233.68, 320.54 and 228.88 is: 313.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.68 : 320.54 = 228.88 : x
  2. Step 2: Convert to fraction form
    233.68/320.54 = 228.88/x
  3. Step 3: Cross multiply
    233.68x = 320.54 × 228.88
  4. Step 4: Simplify right side
    233.68x = 73,365.20
  5. Step 5: Solve for x
    x = 73,365.20/233.68
  6. Step 6: Final answer
    x = 313.96

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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.