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Finding the Fourth Proportional to 509.29, 763.75 and 278.35

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Solution

The fourth proportional to 509.29, 763.75 and 278.35 is: 417.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.29 : 763.75 = 278.35 : x
  2. Step 2: Convert to fraction form
    509.29/763.75 = 278.35/x
  3. Step 3: Cross multiply
    509.29x = 763.75 × 278.35
  4. Step 4: Simplify right side
    509.29x = 212,589.81
  5. Step 5: Solve for x
    x = 212,589.81/509.29
  6. Step 6: Final answer
    x = 417.42

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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.