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Finding the Fourth Proportional to 432.54, 597.06 and 257.94

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Solution

The fourth proportional to 432.54, 597.06 and 257.94 is: 356.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.54 : 597.06 = 257.94 : x
  2. Step 2: Convert to fraction form
    432.54/597.06 = 257.94/x
  3. Step 3: Cross multiply
    432.54x = 597.06 × 257.94
  4. Step 4: Simplify right side
    432.54x = 154,005.66
  5. Step 5: Solve for x
    x = 154,005.66/432.54
  6. Step 6: Final answer
    x = 356.05

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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.