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Finding the Fourth Proportional to 509.18, 702.20 and 359.90

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Solution

The fourth proportional to 509.18, 702.20 and 359.90 is: 496.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.18 : 702.20 = 359.90 : x
  2. Step 2: Convert to fraction form
    509.18/702.20 = 359.90/x
  3. Step 3: Cross multiply
    509.18x = 702.20 × 359.90
  4. Step 4: Simplify right side
    509.18x = 252,721.78
  5. Step 5: Solve for x
    x = 252,721.78/509.18
  6. Step 6: Final answer
    x = 496.34

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.