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Finding the Fourth Proportional to 415.75, 624.01 and 210.47

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Solution

The fourth proportional to 415.75, 624.01 and 210.47 is: 315.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.75 : 624.01 = 210.47 : x
  2. Step 2: Convert to fraction form
    415.75/624.01 = 210.47/x
  3. Step 3: Cross multiply
    415.75x = 624.01 × 210.47
  4. Step 4: Simplify right side
    415.75x = 131,332.79
  5. Step 5: Solve for x
    x = 131,332.79/415.75
  6. Step 6: Final answer
    x = 315.89

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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.