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Finding the Fourth Proportional to 509.64, 764.19 and 221.01

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Solution

The fourth proportional to 509.64, 764.19 and 221.01 is: 331.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.64 : 764.19 = 221.01 : x
  2. Step 2: Convert to fraction form
    509.64/764.19 = 221.01/x
  3. Step 3: Cross multiply
    509.64x = 764.19 × 221.01
  4. Step 4: Simplify right side
    509.64x = 168,893.63
  5. Step 5: Solve for x
    x = 168,893.63/509.64
  6. Step 6: Final answer
    x = 331.40

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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.