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Finding the Fourth Proportional to 415.04, 570.32 and 345.92

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Solution

The fourth proportional to 415.04, 570.32 and 345.92 is: 475.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.04 : 570.32 = 345.92 : x
  2. Step 2: Convert to fraction form
    415.04/570.32 = 345.92/x
  3. Step 3: Cross multiply
    415.04x = 570.32 × 345.92
  4. Step 4: Simplify right side
    415.04x = 197,285.09
  5. Step 5: Solve for x
    x = 197,285.09/415.04
  6. Step 6: Final answer
    x = 475.34

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.