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Finding the Fourth Proportional to 416.30, 582.10 and 416.30

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Solution

The fourth proportional to 416.30, 582.10 and 416.30 is: 582.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    416.30 : 582.10 = 416.30 : x
  2. Step 2: Convert to fraction form
    416.30/582.10 = 416.30/x
  3. Step 3: Cross multiply
    416.30x = 582.10 × 416.30
  4. Step 4: Simplify right side
    416.30x = 242,328.23
  5. Step 5: Solve for x
    x = 242,328.23/416.30
  6. Step 6: Final answer
    x = 582.10

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.