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Finding the Fourth Proportional to 410.00, 613.55 and 301.52

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Solution

The fourth proportional to 410.00, 613.55 and 301.52 is: 451.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.00 : 613.55 = 301.52 : x
  2. Step 2: Convert to fraction form
    410.00/613.55 = 301.52/x
  3. Step 3: Cross multiply
    410.00x = 613.55 × 301.52
  4. Step 4: Simplify right side
    410.00x = 184,995.28
  5. Step 5: Solve for x
    x = 184,995.28/410.00
  6. Step 6: Final answer
    x = 451.21

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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.