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Finding the Fourth Proportional to 340.72, 511.28 and 135.30

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Solution

The fourth proportional to 340.72, 511.28 and 135.30 is: 203.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    340.72 : 511.28 = 135.30 : x
  2. Step 2: Convert to fraction form
    340.72/511.28 = 135.30/x
  3. Step 3: Cross multiply
    340.72x = 511.28 × 135.30
  4. Step 4: Simplify right side
    340.72x = 69,176.18
  5. Step 5: Solve for x
    x = 69,176.18/340.72
  6. Step 6: Final answer
    x = 203.03

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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.