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Finding the Fourth Proportional to 258.07, 389.14 and 253.21

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Solution

The fourth proportional to 258.07, 389.14 and 253.21 is: 381.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    258.07 : 389.14 = 253.21 : x
  2. Step 2: Convert to fraction form
    258.07/389.14 = 253.21/x
  3. Step 3: Cross multiply
    258.07x = 389.14 × 253.21
  4. Step 4: Simplify right side
    258.07x = 98,532.19
  5. Step 5: Solve for x
    x = 98,532.19/258.07
  6. Step 6: Final answer
    x = 381.81

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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.