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Finding the Fourth Proportional to 415.24, 625.95 and 357.93

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Solution

The fourth proportional to 415.24, 625.95 and 357.93 is: 539.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.24 : 625.95 = 357.93 : x
  2. Step 2: Convert to fraction form
    415.24/625.95 = 357.93/x
  3. Step 3: Cross multiply
    415.24x = 625.95 × 357.93
  4. Step 4: Simplify right side
    415.24x = 224,047.85
  5. Step 5: Solve for x
    x = 224,047.85/415.24
  6. Step 6: Final answer
    x = 539.56

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.