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Finding the Fourth Proportional to 174.66, 260.75 and 147.32

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Solution

The fourth proportional to 174.66, 260.75 and 147.32 is: 219.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    174.66 : 260.75 = 147.32 : x
  2. Step 2: Convert to fraction form
    174.66/260.75 = 147.32/x
  3. Step 3: Cross multiply
    174.66x = 260.75 × 147.32
  4. Step 4: Simplify right side
    174.66x = 38,413.32
  5. Step 5: Solve for x
    x = 38,413.32/174.66
  6. Step 6: Final answer
    x = 219.93

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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.