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Finding the Fourth Proportional to 264.54, 395.28 and 202.50

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Solution

The fourth proportional to 264.54, 395.28 and 202.50 is: 302.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    264.54 : 395.28 = 202.50 : x
  2. Step 2: Convert to fraction form
    264.54/395.28 = 202.50/x
  3. Step 3: Cross multiply
    264.54x = 395.28 × 202.50
  4. Step 4: Simplify right side
    264.54x = 80,044.20
  5. Step 5: Solve for x
    x = 80,044.20/264.54
  6. Step 6: Final answer
    x = 302.58

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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.