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Finding the Fourth Proportional to 509, 763.56 and 220.28

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Solution

The fourth proportional to 509, 763.56 and 220.28 is: 330.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    509 : 763.56 = 220.28 : x
  2. Step 2: Convert to fraction form
    509/763.56 = 220.28/x
  3. Step 3: Cross multiply
    509x = 763.56 × 220.28
  4. Step 4: Simplify right side
    509x = 168,197.00
  5. Step 5: Solve for x
    x = 168,197.00/509
  6. Step 6: Final answer
    x = 330.45

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1.5x scale

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.