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Finding the Fourth Proportional to 202.66, 304.20 and 157.50

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Solution

The fourth proportional to 202.66, 304.20 and 157.50 is: 236.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.66 : 304.20 = 157.50 : x
  2. Step 2: Convert to fraction form
    202.66/304.20 = 157.50/x
  3. Step 3: Cross multiply
    202.66x = 304.20 × 157.50
  4. Step 4: Simplify right side
    202.66x = 47,911.50
  5. Step 5: Solve for x
    x = 47,911.50/202.66
  6. Step 6: Final answer
    x = 236.41

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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.