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Finding the Fourth Proportional to 318.88, 476.32 and 264.16

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Solution

The fourth proportional to 318.88, 476.32 and 264.16 is: 394.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.88 : 476.32 = 264.16 : x
  2. Step 2: Convert to fraction form
    318.88/476.32 = 264.16/x
  3. Step 3: Cross multiply
    318.88x = 476.32 × 264.16
  4. Step 4: Simplify right side
    318.88x = 125,824.69
  5. Step 5: Solve for x
    x = 125,824.69/318.88
  6. Step 6: Final answer
    x = 394.58

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.