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Finding the Fourth Proportional to 415.82, 574.16 and 312.10

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Solution

The fourth proportional to 415.82, 574.16 and 312.10 is: 430.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.82 : 574.16 = 312.10 : x
  2. Step 2: Convert to fraction form
    415.82/574.16 = 312.10/x
  3. Step 3: Cross multiply
    415.82x = 574.16 × 312.10
  4. Step 4: Simplify right side
    415.82x = 179,195.34
  5. Step 5: Solve for x
    x = 179,195.34/415.82
  6. Step 6: Final answer
    x = 430.94

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.