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Finding the Fourth Proportional to 417.21, 628.11 and 366.18

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Solution

The fourth proportional to 417.21, 628.11 and 366.18 is: 551.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.21 : 628.11 = 366.18 : x
  2. Step 2: Convert to fraction form
    417.21/628.11 = 366.18/x
  3. Step 3: Cross multiply
    417.21x = 628.11 × 366.18
  4. Step 4: Simplify right side
    417.21x = 230,001.32
  5. Step 5: Solve for x
    x = 230,001.32/417.21
  6. Step 6: Final answer
    x = 551.28

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.