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Finding the Fourth Proportional to 233.39, 347.13 and 228.53

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Solution

The fourth proportional to 233.39, 347.13 and 228.53 is: 339.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    233.39 : 347.13 = 228.53 : x
  2. Step 2: Convert to fraction form
    233.39/347.13 = 228.53/x
  3. Step 3: Cross multiply
    233.39x = 347.13 × 228.53
  4. Step 4: Simplify right side
    233.39x = 79,329.62
  5. Step 5: Solve for x
    x = 79,329.62/233.39
  6. Step 6: Final answer
    x = 339.90

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.