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Finding the Fourth Proportional to 278.19, 417.15 and 104.81

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Solution

The fourth proportional to 278.19, 417.15 and 104.81 is: 157.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.19 : 417.15 = 104.81 : x
  2. Step 2: Convert to fraction form
    278.19/417.15 = 104.81/x
  3. Step 3: Cross multiply
    278.19x = 417.15 × 104.81
  4. Step 4: Simplify right side
    278.19x = 43,719.41
  5. Step 5: Solve for x
    x = 43,719.41/278.19
  6. Step 6: Final answer
    x = 157.16

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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.