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Finding the Fourth Proportional to 1,280.04, 1,920.02 and 368.04

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Solution

The fourth proportional to 1,280.04, 1,920.02 and 368.04 is: 552.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,280.04 : 1,920.02 = 368.04 : x
  2. Step 2: Convert to fraction form
    1,280.04/1,920.02 = 368.04/x
  3. Step 3: Cross multiply
    1,280.04x = 1,920.02 × 368.04
  4. Step 4: Simplify right side
    1,280.04x = 706,644.16
  5. Step 5: Solve for x
    x = 706,644.16/1,280.04
  6. Step 6: Final answer
    x = 552.05

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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.