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Finding the Fourth Proportional to 353.57, 526.19 and 340.61

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Solution

The fourth proportional to 353.57, 526.19 and 340.61 is: 506.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    353.57 : 526.19 = 340.61 : x
  2. Step 2: Convert to fraction form
    353.57/526.19 = 340.61/x
  3. Step 3: Cross multiply
    353.57x = 526.19 × 340.61
  4. Step 4: Simplify right side
    353.57x = 179,221.24
  5. Step 5: Solve for x
    x = 179,221.24/353.57
  6. Step 6: Final answer
    x = 506.90

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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.