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Finding the Fourth Proportional to 155.85, 233.74 and 40.29

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Solution

The fourth proportional to 155.85, 233.74 and 40.29 is: 60.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.85 : 233.74 = 40.29 : x
  2. Step 2: Convert to fraction form
    155.85/233.74 = 40.29/x
  3. Step 3: Cross multiply
    155.85x = 233.74 × 40.29
  4. Step 4: Simplify right side
    155.85x = 9,417.38
  5. Step 5: Solve for x
    x = 9,417.38/155.85
  6. Step 6: Final answer
    x = 60.43

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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.