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Finding the Fourth Proportional to 316.30, 476.34 and 282.36

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Solution

The fourth proportional to 316.30, 476.34 and 282.36 is: 425.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.30 : 476.34 = 282.36 : x
  2. Step 2: Convert to fraction form
    316.30/476.34 = 282.36/x
  3. Step 3: Cross multiply
    316.30x = 476.34 × 282.36
  4. Step 4: Simplify right side
    316.30x = 134,499.36
  5. Step 5: Solve for x
    x = 134,499.36/316.30
  6. Step 6: Final answer
    x = 425.23

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.