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Finding the Fourth Proportional to 902.68, 1,354 and 253.42

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Solution

The fourth proportional to 902.68, 1,354 and 253.42 is: 380.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    902.68 : 1,354 = 253.42 : x
  2. Step 2: Convert to fraction form
    902.68/1,354 = 253.42/x
  3. Step 3: Cross multiply
    902.68x = 1,354 × 253.42
  4. Step 4: Simplify right side
    902.68x = 343,130.68
  5. Step 5: Solve for x
    x = 343,130.68/902.68
  6. Step 6: Final answer
    x = 380.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.