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Finding the Fourth Proportional to 501.50, 751.98 and 282.04

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Solution

The fourth proportional to 501.50, 751.98 and 282.04 is: 422.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.50 : 751.98 = 282.04 : x
  2. Step 2: Convert to fraction form
    501.50/751.98 = 282.04/x
  3. Step 3: Cross multiply
    501.50x = 751.98 × 282.04
  4. Step 4: Simplify right side
    501.50x = 212,083.27
  5. Step 5: Solve for x
    x = 212,083.27/501.50
  6. Step 6: Final answer
    x = 422.90

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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.