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Finding the Fourth Proportional to 855.48, 1,283.46 and 278.40

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Solution

The fourth proportional to 855.48, 1,283.46 and 278.40 is: 417.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    855.48 : 1,283.46 = 278.40 : x
  2. Step 2: Convert to fraction form
    855.48/1,283.46 = 278.40/x
  3. Step 3: Cross multiply
    855.48x = 1,283.46 × 278.40
  4. Step 4: Simplify right side
    855.48x = 357,315.26
  5. Step 5: Solve for x
    x = 357,315.26/855.48
  6. Step 6: Final answer
    x = 417.68

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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.