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Finding the Fourth Proportional to 417.50, 626.80 and 366.20

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Solution

The fourth proportional to 417.50, 626.80 and 366.20 is: 549.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    417.50 : 626.80 = 366.20 : x
  2. Step 2: Convert to fraction form
    417.50/626.80 = 366.20/x
  3. Step 3: Cross multiply
    417.50x = 626.80 × 366.20
  4. Step 4: Simplify right side
    417.50x = 229,534.16
  5. Step 5: Solve for x
    x = 229,534.16/417.50
  6. Step 6: Final answer
    x = 549.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.