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Finding the Fourth Proportional to 319.57, 441.02 and 188.58

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Solution

The fourth proportional to 319.57, 441.02 and 188.58 is: 260.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    319.57 : 441.02 = 188.58 : x
  2. Step 2: Convert to fraction form
    319.57/441.02 = 188.58/x
  3. Step 3: Cross multiply
    319.57x = 441.02 × 188.58
  4. Step 4: Simplify right side
    319.57x = 83,166.67
  5. Step 5: Solve for x
    x = 83,166.67/319.57
  6. Step 6: Final answer
    x = 260.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.