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Finding the Fourth Proportional to 233.04, 319.50 and 228.95

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Solution

The fourth proportional to 233.04, 319.50 and 228.95 is: 313.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.04 : 319.50 = 228.95 : x
  2. Step 2: Convert to fraction form
    233.04/319.50 = 228.95/x
  3. Step 3: Cross multiply
    233.04x = 319.50 × 228.95
  4. Step 4: Simplify right side
    233.04x = 73,147.93
  5. Step 5: Solve for x
    x = 73,147.93/233.04
  6. Step 6: Final answer
    x = 313.89

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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.