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Finding the Fourth Proportional to 202.48, 279.32 and 150.08

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Solution

The fourth proportional to 202.48, 279.32 and 150.08 is: 207.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.48 : 279.32 = 150.08 : x
  2. Step 2: Convert to fraction form
    202.48/279.32 = 150.08/x
  3. Step 3: Cross multiply
    202.48x = 279.32 × 150.08
  4. Step 4: Simplify right side
    202.48x = 41,920.35
  5. Step 5: Solve for x
    x = 41,920.35/202.48
  6. Step 6: Final answer
    x = 207.03

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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.