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Finding the Fourth Proportional to 415.03, 572.62 and 257.67

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Solution

The fourth proportional to 415.03, 572.62 and 257.67 is: 355.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.03 : 572.62 = 257.67 : x
  2. Step 2: Convert to fraction form
    415.03/572.62 = 257.67/x
  3. Step 3: Cross multiply
    415.03x = 572.62 × 257.67
  4. Step 4: Simplify right side
    415.03x = 147,542.84
  5. Step 5: Solve for x
    x = 147,542.84/415.03
  6. Step 6: Final answer
    x = 355.50

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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.