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Finding the Fourth Proportional to 509.19, 763.07 and 265.20

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Solution

The fourth proportional to 509.19, 763.07 and 265.20 is: 397.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.19 : 763.07 = 265.20 : x
  2. Step 2: Convert to fraction form
    509.19/763.07 = 265.20/x
  3. Step 3: Cross multiply
    509.19x = 763.07 × 265.20
  4. Step 4: Simplify right side
    509.19x = 202,364.84
  5. Step 5: Solve for x
    x = 202,364.84/509.19
  6. Step 6: Final answer
    x = 397.43

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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.