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Finding the Fourth Proportional to 415.16, 624.72 and 342.56

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Solution

The fourth proportional to 415.16, 624.72 and 342.56 is: 515.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.16 : 624.72 = 342.56 : x
  2. Step 2: Convert to fraction form
    415.16/624.72 = 342.56/x
  3. Step 3: Cross multiply
    415.16x = 624.72 × 342.56
  4. Step 4: Simplify right side
    415.16x = 214,004.08
  5. Step 5: Solve for x
    x = 214,004.08/415.16
  6. Step 6: Final answer
    x = 515.47

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.