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Finding the Fourth Proportional to 474.77, 655.29 and 265.02

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Solution

The fourth proportional to 474.77, 655.29 and 265.02 is: 365.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    474.77 : 655.29 = 265.02 : x
  2. Step 2: Convert to fraction form
    474.77/655.29 = 265.02/x
  3. Step 3: Cross multiply
    474.77x = 655.29 × 265.02
  4. Step 4: Simplify right side
    474.77x = 173,660.35
  5. Step 5: Solve for x
    x = 173,660.35/474.77
  6. Step 6: Final answer
    x = 365.78

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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.