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Finding the Fourth Proportional to 302.74, 418.34 and 228.93

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Solution

The fourth proportional to 302.74, 418.34 and 228.93 is: 316.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.74 : 418.34 = 228.93 : x
  2. Step 2: Convert to fraction form
    302.74/418.34 = 228.93/x
  3. Step 3: Cross multiply
    302.74x = 418.34 × 228.93
  4. Step 4: Simplify right side
    302.74x = 95,770.58
  5. Step 5: Solve for x
    x = 95,770.58/302.74
  6. Step 6: Final answer
    x = 316.35

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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.