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Finding the Fourth Proportional to 202.72, 302.56 and 154.40

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Solution

The fourth proportional to 202.72, 302.56 and 154.40 is: 230.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    202.72 : 302.56 = 154.40 : x
  2. Step 2: Convert to fraction form
    202.72/302.56 = 154.40/x
  3. Step 3: Cross multiply
    202.72x = 302.56 × 154.40
  4. Step 4: Simplify right side
    202.72x = 46,715.26
  5. Step 5: Solve for x
    x = 46,715.26/202.72
  6. Step 6: Final answer
    x = 230.44

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.