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Finding the Fourth Proportional to 173.12, 260.54 and 130.01

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Solution

The fourth proportional to 173.12, 260.54 and 130.01 is: 195.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.12 : 260.54 = 130.01 : x
  2. Step 2: Convert to fraction form
    173.12/260.54 = 130.01/x
  3. Step 3: Cross multiply
    173.12x = 260.54 × 130.01
  4. Step 4: Simplify right side
    173.12x = 33,871.34
  5. Step 5: Solve for x
    x = 33,871.34/173.12
  6. Step 6: Final answer
    x = 195.66

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.