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Finding the Fourth Proportional to 468.80, 647.48 and 358.03

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Solution

The fourth proportional to 468.80, 647.48 and 358.03 is: 494.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    468.80 : 647.48 = 358.03 : x
  2. Step 2: Convert to fraction form
    468.80/647.48 = 358.03/x
  3. Step 3: Cross multiply
    468.80x = 647.48 × 358.03
  4. Step 4: Simplify right side
    468.80x = 231,816.54
  5. Step 5: Solve for x
    x = 231,816.54/468.80
  6. Step 6: Final answer
    x = 494.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.