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Finding the Fourth Proportional to 509.37, 764.36 and 235.40

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Solution

The fourth proportional to 509.37, 764.36 and 235.40 is: 353.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.37 : 764.36 = 235.40 : x
  2. Step 2: Convert to fraction form
    509.37/764.36 = 235.40/x
  3. Step 3: Cross multiply
    509.37x = 764.36 × 235.40
  4. Step 4: Simplify right side
    509.37x = 179,925.35
  5. Step 5: Solve for x
    x = 179,925.35/509.37
  6. Step 6: Final answer
    x = 353.23

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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.