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Finding the Fourth Proportional to 423.97, 585.12 and 258.19

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Solution

The fourth proportional to 423.97, 585.12 and 258.19 is: 356.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    423.97 : 585.12 = 258.19 : x
  2. Step 2: Convert to fraction form
    423.97/585.12 = 258.19/x
  3. Step 3: Cross multiply
    423.97x = 585.12 × 258.19
  4. Step 4: Simplify right side
    423.97x = 151,070.84
  5. Step 5: Solve for x
    x = 151,070.84/423.97
  6. Step 6: Final answer
    x = 356.33

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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.