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Finding the Fourth Proportional to 410.08, 612.08 and 361.48

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Solution

The fourth proportional to 410.08, 612.08 and 361.48 is: 539.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.08 : 612.08 = 361.48 : x
  2. Step 2: Convert to fraction form
    410.08/612.08 = 361.48/x
  3. Step 3: Cross multiply
    410.08x = 612.08 × 361.48
  4. Step 4: Simplify right side
    410.08x = 221,254.68
  5. Step 5: Solve for x
    x = 221,254.68/410.08
  6. Step 6: Final answer
    x = 539.54

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.