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Finding the Fourth Proportional to 399.48, 598.56 and 245.08

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Solution

The fourth proportional to 399.48, 598.56 and 245.08 is: 367.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    399.48 : 598.56 = 245.08 : x
  2. Step 2: Convert to fraction form
    399.48/598.56 = 245.08/x
  3. Step 3: Cross multiply
    399.48x = 598.56 × 245.08
  4. Step 4: Simplify right side
    399.48x = 146,692.06
  5. Step 5: Solve for x
    x = 146,692.06/399.48
  6. Step 6: Final answer
    x = 367.21

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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.