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Finding the Fourth Proportional to 386.21, 532.35 and 253.19

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Solution

The fourth proportional to 386.21, 532.35 and 253.19 is: 349.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    386.21 : 532.35 = 253.19 : x
  2. Step 2: Convert to fraction form
    386.21/532.35 = 253.19/x
  3. Step 3: Cross multiply
    386.21x = 532.35 × 253.19
  4. Step 4: Simplify right side
    386.21x = 134,785.70
  5. Step 5: Solve for x
    x = 134,785.70/386.21
  6. Step 6: Final answer
    x = 349.00

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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.