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Finding the Fourth Proportional to 415.02, 572.80 and 275.14

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Solution

The fourth proportional to 415.02, 572.80 and 275.14 is: 379.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.02 : 572.80 = 275.14 : x
  2. Step 2: Convert to fraction form
    415.02/572.80 = 275.14/x
  3. Step 3: Cross multiply
    415.02x = 572.80 × 275.14
  4. Step 4: Simplify right side
    415.02x = 157,596.64
  5. Step 5: Solve for x
    x = 157,596.64/415.02
  6. Step 6: Final answer
    x = 379.73

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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.