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Finding the Fourth Proportional to 509.30, 763.68 and 265.58

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Solution

The fourth proportional to 509.30, 763.68 and 265.58 is: 398.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.30 : 763.68 = 265.58 : x
  2. Step 2: Convert to fraction form
    509.30/763.68 = 265.58/x
  3. Step 3: Cross multiply
    509.30x = 763.68 × 265.58
  4. Step 4: Simplify right side
    509.30x = 202,818.13
  5. Step 5: Solve for x
    x = 202,818.13/509.30
  6. Step 6: Final answer
    x = 398.23

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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.