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Finding the Fourth Proportional to 476.42, 657.66 and 336.65

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Solution

The fourth proportional to 476.42, 657.66 and 336.65 is: 464.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    476.42 : 657.66 = 336.65 : x
  2. Step 2: Convert to fraction form
    476.42/657.66 = 336.65/x
  3. Step 3: Cross multiply
    476.42x = 657.66 × 336.65
  4. Step 4: Simplify right side
    476.42x = 221,401.24
  5. Step 5: Solve for x
    x = 221,401.24/476.42
  6. Step 6: Final answer
    x = 464.72

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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.