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Finding the Fourth Proportional to 476.13, 657.08 and 299.15

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Solution

The fourth proportional to 476.13, 657.08 and 299.15 is: 412.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.13 : 657.08 = 299.15 : x
  2. Step 2: Convert to fraction form
    476.13/657.08 = 299.15/x
  3. Step 3: Cross multiply
    476.13x = 657.08 × 299.15
  4. Step 4: Simplify right side
    476.13x = 196,565.48
  5. Step 5: Solve for x
    x = 196,565.48/476.13
  6. Step 6: Final answer
    x = 412.84

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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.