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Finding the Fourth Proportional to 508.30, 761.73 and 353.90

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Solution

The fourth proportional to 508.30, 761.73 and 353.90 is: 530.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    508.30 : 761.73 = 353.90 : x
  2. Step 2: Convert to fraction form
    508.30/761.73 = 353.90/x
  3. Step 3: Cross multiply
    508.30x = 761.73 × 353.90
  4. Step 4: Simplify right side
    508.30x = 269,576.25
  5. Step 5: Solve for x
    x = 269,576.25/508.30
  6. Step 6: Final answer
    x = 530.35

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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.