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Finding the Fourth Proportional to 173.60, 256.64 and 173.60

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Solution

The fourth proportional to 173.60, 256.64 and 173.60 is: 256.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.60 : 256.64 = 173.60 : x
  2. Step 2: Convert to fraction form
    173.60/256.64 = 173.60/x
  3. Step 3: Cross multiply
    173.60x = 256.64 × 173.60
  4. Step 4: Simplify right side
    173.60x = 44,552.70
  5. Step 5: Solve for x
    x = 44,552.70/173.60
  6. Step 6: Final answer
    x = 256.64

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.