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Finding the Fourth Proportional to 155.89, 233.40 and 117.39

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Solution

The fourth proportional to 155.89, 233.40 and 117.39 is: 175.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.89 : 233.40 = 117.39 : x
  2. Step 2: Convert to fraction form
    155.89/233.40 = 117.39/x
  3. Step 3: Cross multiply
    155.89x = 233.40 × 117.39
  4. Step 4: Simplify right side
    155.89x = 27,398.83
  5. Step 5: Solve for x
    x = 27,398.83/155.89
  6. Step 6: Final answer
    x = 175.76

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.