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Finding the Fourth Proportional to 155.66, 214.52 and 120.62

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Solution

The fourth proportional to 155.66, 214.52 and 120.62 is: 166.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.66 : 214.52 = 120.62 : x
  2. Step 2: Convert to fraction form
    155.66/214.52 = 120.62/x
  3. Step 3: Cross multiply
    155.66x = 214.52 × 120.62
  4. Step 4: Simplify right side
    155.66x = 25,875.34
  5. Step 5: Solve for x
    x = 25,875.34/155.66
  6. Step 6: Final answer
    x = 166.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.