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Finding the Fourth Proportional to 302.11, 417.06 and 228.76

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Solution

The fourth proportional to 302.11, 417.06 and 228.76 is: 315.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.11 : 417.06 = 228.76 : x
  2. Step 2: Convert to fraction form
    302.11/417.06 = 228.76/x
  3. Step 3: Cross multiply
    302.11x = 417.06 × 228.76
  4. Step 4: Simplify right side
    302.11x = 95,405.60
  5. Step 5: Solve for x
    x = 95,405.60/302.11
  6. Step 6: Final answer
    x = 315.80

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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.