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Finding the Fourth Proportional to 632.46, 948.72 and 193.70

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Solution

The fourth proportional to 632.46, 948.72 and 193.70 is: 290.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    632.46 : 948.72 = 193.70 : x
  2. Step 2: Convert to fraction form
    632.46/948.72 = 193.70/x
  3. Step 3: Cross multiply
    632.46x = 948.72 × 193.70
  4. Step 4: Simplify right side
    632.46x = 183,762.32
  5. Step 5: Solve for x
    x = 183,762.32/632.46
  6. Step 6: Final answer
    x = 290.55

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.