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Finding the Fourth Proportional to 432.69, 597.02 and 258

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Solution

The fourth proportional to 432.69, 597.02 and 258 is: 355.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    432.69 : 597.02 = 258 : x
  2. Step 2: Convert to fraction form
    432.69/597.02 = 258/x
  3. Step 3: Cross multiply
    432.69x = 597.02 × 258
  4. Step 4: Simplify right side
    432.69x = 154,029.87
  5. Step 5: Solve for x
    x = 154,029.87/432.69
  6. Step 6: Final answer
    x = 355.98

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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.