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Finding the Fourth Proportional to 155.29, 233.01 and 78.28

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Solution

The fourth proportional to 155.29, 233.01 and 78.28 is: 117.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.29 : 233.01 = 78.28 : x
  2. Step 2: Convert to fraction form
    155.29/233.01 = 78.28/x
  3. Step 3: Cross multiply
    155.29x = 233.01 × 78.28
  4. Step 4: Simplify right side
    155.29x = 18,240.02
  5. Step 5: Solve for x
    x = 18,240.02/155.29
  6. Step 6: Final answer
    x = 117.46

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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.