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Finding the Fourth Proportional to 410.44, 613.86 and 357.16

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Solution

The fourth proportional to 410.44, 613.86 and 357.16 is: 534.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    410.44 : 613.86 = 357.16 : x
  2. Step 2: Convert to fraction form
    410.44/613.86 = 357.16/x
  3. Step 3: Cross multiply
    410.44x = 613.86 × 357.16
  4. Step 4: Simplify right side
    410.44x = 219,246.24
  5. Step 5: Solve for x
    x = 219,246.24/410.44
  6. Step 6: Final answer
    x = 534.17

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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.