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Finding the Fourth Proportional to 931.30, 1,396.98 and 338.30

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Solution

The fourth proportional to 931.30, 1,396.98 and 338.30 is: 507.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    931.30 : 1,396.98 = 338.30 : x
  2. Step 2: Convert to fraction form
    931.30/1,396.98 = 338.30/x
  3. Step 3: Cross multiply
    931.30x = 1,396.98 × 338.30
  4. Step 4: Simplify right side
    931.30x = 472,598.33
  5. Step 5: Solve for x
    x = 472,598.33/931.30
  6. Step 6: Final answer
    x = 507.46

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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.