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Finding the Fourth Proportional to 278.19, 417.33 and 157.23

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Solution

The fourth proportional to 278.19, 417.33 and 157.23 is: 235.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    278.19 : 417.33 = 157.23 : x
  2. Step 2: Convert to fraction form
    278.19/417.33 = 157.23/x
  3. Step 3: Cross multiply
    278.19x = 417.33 × 157.23
  4. Step 4: Simplify right side
    278.19x = 65,616.80
  5. Step 5: Solve for x
    x = 65,616.80/278.19
  6. Step 6: Final answer
    x = 235.87

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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.