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Finding the Fourth Proportional to 853.25, 1,280.10 and 268.25

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Solution

The fourth proportional to 853.25, 1,280.10 and 268.25 is: 402.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    853.25 : 1,280.10 = 268.25 : x
  2. Step 2: Convert to fraction form
    853.25/1,280.10 = 268.25/x
  3. Step 3: Cross multiply
    853.25x = 1,280.10 × 268.25
  4. Step 4: Simplify right side
    853.25x = 343,386.83
  5. Step 5: Solve for x
    x = 343,386.83/853.25
  6. Step 6: Final answer
    x = 402.45

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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.