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Finding the Fourth Proportional to 1,086.93, 1,630.40 and 265.20

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Solution

The fourth proportional to 1,086.93, 1,630.40 and 265.20 is: 397.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,086.93 : 1,630.40 = 265.20 : x
  2. Step 2: Convert to fraction form
    1,086.93/1,630.40 = 265.20/x
  3. Step 3: Cross multiply
    1,086.93x = 1,630.40 × 265.20
  4. Step 4: Simplify right side
    1,086.93x = 432,382.08
  5. Step 5: Solve for x
    x = 432,382.08/1,086.93
  6. Step 6: Final answer
    x = 397.80

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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.