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Finding the Fourth Proportional to 509.48, 702.82 and 310.38

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Solution

The fourth proportional to 509.48, 702.82 and 310.38 is: 428.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.48 : 702.82 = 310.38 : x
  2. Step 2: Convert to fraction form
    509.48/702.82 = 310.38/x
  3. Step 3: Cross multiply
    509.48x = 702.82 × 310.38
  4. Step 4: Simplify right side
    509.48x = 218,141.27
  5. Step 5: Solve for x
    x = 218,141.27/509.48
  6. Step 6: Final answer
    x = 428.16

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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.