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Finding the Fourth Proportional to 480.23, 719.43 and 236.47

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Solution

The fourth proportional to 480.23, 719.43 and 236.47 is: 354.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    480.23 : 719.43 = 236.47 : x
  2. Step 2: Convert to fraction form
    480.23/719.43 = 236.47/x
  3. Step 3: Cross multiply
    480.23x = 719.43 × 236.47
  4. Step 4: Simplify right side
    480.23x = 170,123.61
  5. Step 5: Solve for x
    x = 170,123.61/480.23
  6. Step 6: Final answer
    x = 354.26

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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.