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Finding the Fourth Proportional to 476.64, 655.92 and 365.64

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Solution

The fourth proportional to 476.64, 655.92 and 365.64 is: 503.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.64 : 655.92 = 365.64 : x
  2. Step 2: Convert to fraction form
    476.64/655.92 = 365.64/x
  3. Step 3: Cross multiply
    476.64x = 655.92 × 365.64
  4. Step 4: Simplify right side
    476.64x = 239,830.59
  5. Step 5: Solve for x
    x = 239,830.59/476.64
  6. Step 6: Final answer
    x = 503.17

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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.