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Finding the Fourth Proportional to 1,354.19, 2,031.28 and 328.19

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Solution

The fourth proportional to 1,354.19, 2,031.28 and 328.19 is: 492.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,354.19 : 2,031.28 = 328.19 : x
  2. Step 2: Convert to fraction form
    1,354.19/2,031.28 = 328.19/x
  3. Step 3: Cross multiply
    1,354.19x = 2,031.28 × 328.19
  4. Step 4: Simplify right side
    1,354.19x = 666,641.53
  5. Step 5: Solve for x
    x = 666,641.53/1,354.19
  6. Step 6: Final answer
    x = 492.28

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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.