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Finding the Fourth Proportional to 318.16, 477.06 and 164.02

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Solution

The fourth proportional to 318.16, 477.06 and 164.02 is: 245.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.16 : 477.06 = 164.02 : x
  2. Step 2: Convert to fraction form
    318.16/477.06 = 164.02/x
  3. Step 3: Cross multiply
    318.16x = 477.06 × 164.02
  4. Step 4: Simplify right side
    318.16x = 78,246.19
  5. Step 5: Solve for x
    x = 78,246.19/318.16
  6. Step 6: Final answer
    x = 245.94

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.