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Finding the Fourth Proportional to 318.47, 475.34 and 282.02

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Solution

The fourth proportional to 318.47, 475.34 and 282.02 is: 420.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    318.47 : 475.34 = 282.02 : x
  2. Step 2: Convert to fraction form
    318.47/475.34 = 282.02/x
  3. Step 3: Cross multiply
    318.47x = 475.34 × 282.02
  4. Step 4: Simplify right side
    318.47x = 134,051.60
  5. Step 5: Solve for x
    x = 134,051.60/318.47
  6. Step 6: Final answer
    x = 420.93

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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.