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Finding the Fourth Proportional to 155.46, 214.54 and 89.96

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Solution

The fourth proportional to 155.46, 214.54 and 89.96 is: 124.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.46 : 214.54 = 89.96 : x
  2. Step 2: Convert to fraction form
    155.46/214.54 = 89.96/x
  3. Step 3: Cross multiply
    155.46x = 214.54 × 89.96
  4. Step 4: Simplify right side
    155.46x = 19,300.02
  5. Step 5: Solve for x
    x = 19,300.02/155.46
  6. Step 6: Final answer
    x = 124.15

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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.