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Finding the Fourth Proportional to 264.51, 394.23 and 253.08

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Solution

The fourth proportional to 264.51, 394.23 and 253.08 is: 377.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.51 : 394.23 = 253.08 : x
  2. Step 2: Convert to fraction form
    264.51/394.23 = 253.08/x
  3. Step 3: Cross multiply
    264.51x = 394.23 × 253.08
  4. Step 4: Simplify right side
    264.51x = 99,771.73
  5. Step 5: Solve for x
    x = 99,771.73/264.51
  6. Step 6: Final answer
    x = 377.19

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.