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Finding the Fourth Proportional to 349.28, 526.18 and 294.62

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Solution

The fourth proportional to 349.28, 526.18 and 294.62 is: 443.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.28 : 526.18 = 294.62 : x
  2. Step 2: Convert to fraction form
    349.28/526.18 = 294.62/x
  3. Step 3: Cross multiply
    349.28x = 526.18 × 294.62
  4. Step 4: Simplify right side
    349.28x = 155,023.15
  5. Step 5: Solve for x
    x = 155,023.15/349.28
  6. Step 6: Final answer
    x = 443.84

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.