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Finding the Fourth Proportional to 409.86, 612.18 and 352.22

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Solution

The fourth proportional to 409.86, 612.18 and 352.22 is: 526.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    409.86 : 612.18 = 352.22 : x
  2. Step 2: Convert to fraction form
    409.86/612.18 = 352.22/x
  3. Step 3: Cross multiply
    409.86x = 612.18 × 352.22
  4. Step 4: Simplify right side
    409.86x = 215,618.98
  5. Step 5: Solve for x
    x = 215,618.98/409.86
  6. Step 6: Final answer
    x = 526.08

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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.