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Finding the Fourth Proportional to 410.83, 616.20 and 164.02

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Solution

The fourth proportional to 410.83, 616.20 and 164.02 is: 246.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.83 : 616.20 = 164.02 : x
  2. Step 2: Convert to fraction form
    410.83/616.20 = 164.02/x
  3. Step 3: Cross multiply
    410.83x = 616.20 × 164.02
  4. Step 4: Simplify right side
    410.83x = 101,069.12
  5. Step 5: Solve for x
    x = 101,069.12/410.83
  6. Step 6: Final answer
    x = 246.01

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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.