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Finding the Fourth Proportional to 155.59, 214.63 and 97.27

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Solution

The fourth proportional to 155.59, 214.63 and 97.27 is: 134.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    155.59 : 214.63 = 97.27 : x
  2. Step 2: Convert to fraction form
    155.59/214.63 = 97.27/x
  3. Step 3: Cross multiply
    155.59x = 214.63 × 97.27
  4. Step 4: Simplify right side
    155.59x = 20,877.06
  5. Step 5: Solve for x
    x = 20,877.06/155.59
  6. Step 6: Final answer
    x = 134.18

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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.