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Finding the Fourth Proportional to 415.07, 572.83 and 297.07

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Solution

The fourth proportional to 415.07, 572.83 and 297.07 is: 409.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.07 : 572.83 = 297.07 : x
  2. Step 2: Convert to fraction form
    415.07/572.83 = 297.07/x
  3. Step 3: Cross multiply
    415.07x = 572.83 × 297.07
  4. Step 4: Simplify right side
    415.07x = 170,170.52
  5. Step 5: Solve for x
    x = 170,170.52/415.07
  6. Step 6: Final answer
    x = 409.98

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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.