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Finding the Fourth Proportional to 432.84, 597.48 and 258.19

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Solution

The fourth proportional to 432.84, 597.48 and 258.19 is: 356.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.84 : 597.48 = 258.19 : x
  2. Step 2: Convert to fraction form
    432.84/597.48 = 258.19/x
  3. Step 3: Cross multiply
    432.84x = 597.48 × 258.19
  4. Step 4: Simplify right side
    432.84x = 154,260.90
  5. Step 5: Solve for x
    x = 154,260.90/432.84
  6. Step 6: Final answer
    x = 356.39

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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.