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Finding the Fourth Proportional to 318.53, 475.64 and 316.60

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Solution

The fourth proportional to 318.53, 475.64 and 316.60 is: 472.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.53 : 475.64 = 316.60 : x
  2. Step 2: Convert to fraction form
    318.53/475.64 = 316.60/x
  3. Step 3: Cross multiply
    318.53x = 475.64 × 316.60
  4. Step 4: Simplify right side
    318.53x = 150,588.71
  5. Step 5: Solve for x
    x = 150,588.71/318.53
  6. Step 6: Final answer
    x = 472.77

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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.