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Finding the Fourth Proportional to 278.58, 417.60 and 175.54

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Solution

The fourth proportional to 278.58, 417.60 and 175.54 is: 263.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.58 : 417.60 = 175.54 : x
  2. Step 2: Convert to fraction form
    278.58/417.60 = 175.54/x
  3. Step 3: Cross multiply
    278.58x = 417.60 × 175.54
  4. Step 4: Simplify right side
    278.58x = 73,305.50
  5. Step 5: Solve for x
    x = 73,305.50/278.58
  6. Step 6: Final answer
    x = 263.14

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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.