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Finding the Fourth Proportional to 175.90, 261.77 and 174.10

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Solution

The fourth proportional to 175.90, 261.77 and 174.10 is: 259.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    175.90 : 261.77 = 174.10 : x
  2. Step 2: Convert to fraction form
    175.90/261.77 = 174.10/x
  3. Step 3: Cross multiply
    175.90x = 261.77 × 174.10
  4. Step 4: Simplify right side
    175.90x = 45,574.16
  5. Step 5: Solve for x
    x = 45,574.16/175.90
  6. Step 6: Final answer
    x = 259.09

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.