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Finding the Fourth Proportional to 207.63, 312.57 and 153.95

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Solution

The fourth proportional to 207.63, 312.57 and 153.95 is: 231.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.63 : 312.57 = 153.95 : x
  2. Step 2: Convert to fraction form
    207.63/312.57 = 153.95/x
  3. Step 3: Cross multiply
    207.63x = 312.57 × 153.95
  4. Step 4: Simplify right side
    207.63x = 48,118.59
  5. Step 5: Solve for x
    x = 48,118.59/207.63
  6. Step 6: Final answer
    x = 231.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.