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Finding the Fourth Proportional to 474.12, 655.30 and 357.48

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Solution

The fourth proportional to 474.12, 655.30 and 357.48 is: 494.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.12 : 655.30 = 357.48 : x
  2. Step 2: Convert to fraction form
    474.12/655.30 = 357.48/x
  3. Step 3: Cross multiply
    474.12x = 655.30 × 357.48
  4. Step 4: Simplify right side
    474.12x = 234,256.64
  5. Step 5: Solve for x
    x = 234,256.64/474.12
  6. Step 6: Final answer
    x = 494.09

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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.