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Finding the Fourth Proportional to 173.79, 261.63 and 151.47

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Solution

The fourth proportional to 173.79, 261.63 and 151.47 is: 228.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    173.79 : 261.63 = 151.47 : x
  2. Step 2: Convert to fraction form
    173.79/261.63 = 151.47/x
  3. Step 3: Cross multiply
    173.79x = 261.63 × 151.47
  4. Step 4: Simplify right side
    173.79x = 39,629.10
  5. Step 5: Solve for x
    x = 39,629.10/173.79
  6. Step 6: Final answer
    x = 228.03

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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.