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Finding the Fourth Proportional to 415.65, 573.53 and 291.27

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Solution

The fourth proportional to 415.65, 573.53 and 291.27 is: 401.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.65 : 573.53 = 291.27 : x
  2. Step 2: Convert to fraction form
    415.65/573.53 = 291.27/x
  3. Step 3: Cross multiply
    415.65x = 573.53 × 291.27
  4. Step 4: Simplify right side
    415.65x = 167,052.08
  5. Step 5: Solve for x
    x = 167,052.08/415.65
  6. Step 6: Final answer
    x = 401.91

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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.