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Finding the Fourth Proportional to 258.13, 389.36 and 243.16

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Solution

The fourth proportional to 258.13, 389.36 and 243.16 is: 366.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.13 : 389.36 = 243.16 : x
  2. Step 2: Convert to fraction form
    258.13/389.36 = 243.16/x
  3. Step 3: Cross multiply
    258.13x = 389.36 × 243.16
  4. Step 4: Simplify right side
    258.13x = 94,676.78
  5. Step 5: Solve for x
    x = 94,676.78/258.13
  6. Step 6: Final answer
    x = 366.78

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.