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Finding the Fourth Proportional to 202.50, 279.45 and 167.40

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Solution

The fourth proportional to 202.50, 279.45 and 167.40 is: 231.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.50 : 279.45 = 167.40 : x
  2. Step 2: Convert to fraction form
    202.50/279.45 = 167.40/x
  3. Step 3: Cross multiply
    202.50x = 279.45 × 167.40
  4. Step 4: Simplify right side
    202.50x = 46,779.93
  5. Step 5: Solve for x
    x = 46,779.93/202.50
  6. Step 6: Final answer
    x = 231.01

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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.