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Finding the Fourth Proportional to 415.36, 572.81 and 258.02

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Solution

The fourth proportional to 415.36, 572.81 and 258.02 is: 355.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    415.36 : 572.81 = 258.02 : x
  2. Step 2: Convert to fraction form
    415.36/572.81 = 258.02/x
  3. Step 3: Cross multiply
    415.36x = 572.81 × 258.02
  4. Step 4: Simplify right side
    415.36x = 147,792.28
  5. Step 5: Solve for x
    x = 147,792.28/415.36
  6. Step 6: Final answer
    x = 355.82

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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.