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Finding the Fourth Proportional to 508.02, 760.65 and 264.05

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Solution

The fourth proportional to 508.02, 760.65 and 264.05 is: 395.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.02 : 760.65 = 264.05 : x
  2. Step 2: Convert to fraction form
    508.02/760.65 = 264.05/x
  3. Step 3: Cross multiply
    508.02x = 760.65 × 264.05
  4. Step 4: Simplify right side
    508.02x = 200,849.63
  5. Step 5: Solve for x
    x = 200,849.63/508.02
  6. Step 6: Final answer
    x = 395.36

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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.