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Finding the Fourth Proportional to 501.76, 753.04 and 213.24

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Solution

The fourth proportional to 501.76, 753.04 and 213.24 is: 320.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    501.76 : 753.04 = 213.24 : x
  2. Step 2: Convert to fraction form
    501.76/753.04 = 213.24/x
  3. Step 3: Cross multiply
    501.76x = 753.04 × 213.24
  4. Step 4: Simplify right side
    501.76x = 160,578.25
  5. Step 5: Solve for x
    x = 160,578.25/501.76
  6. Step 6: Final answer
    x = 320.03

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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.