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Finding the Fourth Proportional to 318.19, 475.72 and 269.98

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Solution

The fourth proportional to 318.19, 475.72 and 269.98 is: 403.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.19 : 475.72 = 269.98 : x
  2. Step 2: Convert to fraction form
    318.19/475.72 = 269.98/x
  3. Step 3: Cross multiply
    318.19x = 475.72 × 269.98
  4. Step 4: Simplify right side
    318.19x = 128,434.89
  5. Step 5: Solve for x
    x = 128,434.89/318.19
  6. Step 6: Final answer
    x = 403.64

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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.