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Finding the Fourth Proportional to 432.74, 596.98 and 258.02

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Solution

The fourth proportional to 432.74, 596.98 and 258.02 is: 355.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.74 : 596.98 = 258.02 : x
  2. Step 2: Convert to fraction form
    432.74/596.98 = 258.02/x
  3. Step 3: Cross multiply
    432.74x = 596.98 × 258.02
  4. Step 4: Simplify right side
    432.74x = 154,029.15
  5. Step 5: Solve for x
    x = 154,029.15/432.74
  6. Step 6: Final answer
    x = 355.94

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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.