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Finding the Fourth Proportional to 349.05, 526.03 and 314.39

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Solution

The fourth proportional to 349.05, 526.03 and 314.39 is: 473.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    349.05 : 526.03 = 314.39 : x
  2. Step 2: Convert to fraction form
    349.05/526.03 = 314.39/x
  3. Step 3: Cross multiply
    349.05x = 526.03 × 314.39
  4. Step 4: Simplify right side
    349.05x = 165,376.55
  5. Step 5: Solve for x
    x = 165,376.55/349.05
  6. Step 6: Final answer
    x = 473.79

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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.