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Finding the Fourth Proportional to 415.05, 572.28 and 340.11

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Solution

The fourth proportional to 415.05, 572.28 and 340.11 is: 468.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.05 : 572.28 = 340.11 : x
  2. Step 2: Convert to fraction form
    415.05/572.28 = 340.11/x
  3. Step 3: Cross multiply
    415.05x = 572.28 × 340.11
  4. Step 4: Simplify right side
    415.05x = 194,638.15
  5. Step 5: Solve for x
    x = 194,638.15/415.05
  6. Step 6: Final answer
    x = 468.95

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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.