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Finding the Fourth Proportional to 416.30, 626.58 and 314.10

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Solution

The fourth proportional to 416.30, 626.58 and 314.10 is: 472.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.30 : 626.58 = 314.10 : x
  2. Step 2: Convert to fraction form
    416.30/626.58 = 314.10/x
  3. Step 3: Cross multiply
    416.30x = 626.58 × 314.10
  4. Step 4: Simplify right side
    416.30x = 196,808.78
  5. Step 5: Solve for x
    x = 196,808.78/416.30
  6. Step 6: Final answer
    x = 472.76

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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.