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Finding the Fourth Proportional to 433.39, 597.86 and 258.61

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Solution

The fourth proportional to 433.39, 597.86 and 258.61 is: 356.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    433.39 : 597.86 = 258.61 : x
  2. Step 2: Convert to fraction form
    433.39/597.86 = 258.61/x
  3. Step 3: Cross multiply
    433.39x = 597.86 × 258.61
  4. Step 4: Simplify right side
    433.39x = 154,612.57
  5. Step 5: Solve for x
    x = 154,612.57/433.39
  6. Step 6: Final answer
    x = 356.75

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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.