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Finding the Fourth Proportional to 386.35, 532.98 and 253.71

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Solution

The fourth proportional to 386.35, 532.98 and 253.71 is: 350.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.35 : 532.98 = 253.71 : x
  2. Step 2: Convert to fraction form
    386.35/532.98 = 253.71/x
  3. Step 3: Cross multiply
    386.35x = 532.98 × 253.71
  4. Step 4: Simplify right side
    386.35x = 135,222.36
  5. Step 5: Solve for x
    x = 135,222.36/386.35
  6. Step 6: Final answer
    x = 350.00

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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.