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Finding the Fourth Proportional to 501.98, 753.29 and 213.40

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Solution

The fourth proportional to 501.98, 753.29 and 213.40 is: 320.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.98 : 753.29 = 213.40 : x
  2. Step 2: Convert to fraction form
    501.98/753.29 = 213.40/x
  3. Step 3: Cross multiply
    501.98x = 753.29 × 213.40
  4. Step 4: Simplify right side
    501.98x = 160,747.25
  5. Step 5: Solve for x
    x = 160,747.25/501.98
  6. Step 6: Final answer
    x = 320.23

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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.