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Finding the Fourth Proportional to 356.75, 491.88 and 230.50

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Solution

The fourth proportional to 356.75, 491.88 and 230.50 is: 317.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    356.75 : 491.88 = 230.50 : x
  2. Step 2: Convert to fraction form
    356.75/491.88 = 230.50/x
  3. Step 3: Cross multiply
    356.75x = 491.88 × 230.50
  4. Step 4: Simplify right side
    356.75x = 113,378.34
  5. Step 5: Solve for x
    x = 113,378.34/356.75
  6. Step 6: Final answer
    x = 317.81

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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.