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Finding the Fourth Proportional to 318.02, 475.59 and 314.06

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Solution

The fourth proportional to 318.02, 475.59 and 314.06 is: 469.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.02 : 475.59 = 314.06 : x
  2. Step 2: Convert to fraction form
    318.02/475.59 = 314.06/x
  3. Step 3: Cross multiply
    318.02x = 475.59 × 314.06
  4. Step 4: Simplify right side
    318.02x = 149,363.80
  5. Step 5: Solve for x
    x = 149,363.80/318.02
  6. Step 6: Final answer
    x = 469.67

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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.