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Finding the Fourth Proportional to 432.67, 597.17 and 258.06

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Solution

The fourth proportional to 432.67, 597.17 and 258.06 is: 356.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.67 : 597.17 = 258.06 : x
  2. Step 2: Convert to fraction form
    432.67/597.17 = 258.06/x
  3. Step 3: Cross multiply
    432.67x = 597.17 × 258.06
  4. Step 4: Simplify right side
    432.67x = 154,105.69
  5. Step 5: Solve for x
    x = 154,105.69/432.67
  6. Step 6: Final answer
    x = 356.17

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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.