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Finding the Fourth Proportional to 302.26, 417.24 and 228.60

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Solution

The fourth proportional to 302.26, 417.24 and 228.60 is: 315.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    302.26 : 417.24 = 228.60 : x
  2. Step 2: Convert to fraction form
    302.26/417.24 = 228.60/x
  3. Step 3: Cross multiply
    302.26x = 417.24 × 228.60
  4. Step 4: Simplify right side
    302.26x = 95,381.06
  5. Step 5: Solve for x
    x = 95,381.06/302.26
  6. Step 6: Final answer
    x = 315.56

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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.