Home / 1,036.25-1,554.38-256.27

Finding the Fourth Proportional to 1,036.25, 1,554.38 and 256.27

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Solution

The fourth proportional to 1,036.25, 1,554.38 and 256.27 is: 384.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,036.25 : 1,554.38 = 256.27 : x
  2. Step 2: Convert to fraction form
    1,036.25/1,554.38 = 256.27/x
  3. Step 3: Cross multiply
    1,036.25x = 1,554.38 × 256.27
  4. Step 4: Simplify right side
    1,036.25x = 398,331.91
  5. Step 5: Solve for x
    x = 398,331.91/1,036.25
  6. Step 6: Final answer
    x = 384.40

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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.