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Finding the Fourth Proportional to 207.60, 312.93 and 202.20

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Solution

The fourth proportional to 207.60, 312.93 and 202.20 is: 304.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    207.60 : 312.93 = 202.20 : x
  2. Step 2: Convert to fraction form
    207.60/312.93 = 202.20/x
  3. Step 3: Cross multiply
    207.60x = 312.93 × 202.20
  4. Step 4: Simplify right side
    207.60x = 63,274.45
  5. Step 5: Solve for x
    x = 63,274.45/207.60
  6. Step 6: Final answer
    x = 304.79

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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.