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Finding the Fourth Proportional to 410.02, 613.59 and 361.06

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Solution

The fourth proportional to 410.02, 613.59 and 361.06 is: 540.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.02 : 613.59 = 361.06 : x
  2. Step 2: Convert to fraction form
    410.02/613.59 = 361.06/x
  3. Step 3: Cross multiply
    410.02x = 613.59 × 361.06
  4. Step 4: Simplify right side
    410.02x = 221,542.81
  5. Step 5: Solve for x
    x = 221,542.81/410.02
  6. Step 6: Final answer
    x = 540.32

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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.