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Finding the Fourth Proportional to 509.56, 763.30 and 278.32

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Solution

The fourth proportional to 509.56, 763.30 and 278.32 is: 416.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.56 : 763.30 = 278.32 : x
  2. Step 2: Convert to fraction form
    509.56/763.30 = 278.32/x
  3. Step 3: Cross multiply
    509.56x = 763.30 × 278.32
  4. Step 4: Simplify right side
    509.56x = 212,441.66
  5. Step 5: Solve for x
    x = 212,441.66/509.56
  6. Step 6: Final answer
    x = 416.91

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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.