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Finding the Fourth Proportional to 316.53, 475.07 and 143.46

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Solution

The fourth proportional to 316.53, 475.07 and 143.46 is: 215.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.53 : 475.07 = 143.46 : x
  2. Step 2: Convert to fraction form
    316.53/475.07 = 143.46/x
  3. Step 3: Cross multiply
    316.53x = 475.07 × 143.46
  4. Step 4: Simplify right side
    316.53x = 68,152.82
  5. Step 5: Solve for x
    x = 68,152.82/316.53
  6. Step 6: Final answer
    x = 215.31

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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.