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Finding the Fourth Proportional to 270.50, 403.53 and 263.06

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Solution

The fourth proportional to 270.50, 403.53 and 263.06 is: 392.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    270.50 : 403.53 = 263.06 : x
  2. Step 2: Convert to fraction form
    270.50/403.53 = 263.06/x
  3. Step 3: Cross multiply
    270.50x = 403.53 × 263.06
  4. Step 4: Simplify right side
    270.50x = 106,150.58
  5. Step 5: Solve for x
    x = 106,150.58/270.50
  6. Step 6: Final answer
    x = 392.43

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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.