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Finding the Fourth Proportional to 155.17, 232.82 and 152.05

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Solution

The fourth proportional to 155.17, 232.82 and 152.05 is: 228.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.17 : 232.82 = 152.05 : x
  2. Step 2: Convert to fraction form
    155.17/232.82 = 152.05/x
  3. Step 3: Cross multiply
    155.17x = 232.82 × 152.05
  4. Step 4: Simplify right side
    155.17x = 35,401.46
  5. Step 5: Solve for x
    x = 35,401.46/155.17
  6. Step 6: Final answer
    x = 228.15

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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.