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Finding the Fourth Proportional to 316.23, 476.09 and 291.12

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Solution

The fourth proportional to 316.23, 476.09 and 291.12 is: 438.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    316.23 : 476.09 = 291.12 : x
  2. Step 2: Convert to fraction form
    316.23/476.09 = 291.12/x
  3. Step 3: Cross multiply
    316.23x = 476.09 × 291.12
  4. Step 4: Simplify right side
    316.23x = 138,597.87
  5. Step 5: Solve for x
    x = 138,597.87/316.23
  6. Step 6: Final answer
    x = 438.28

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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.