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Finding the Fourth Proportional to 509.32, 702.96 and 310.30

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Solution

The fourth proportional to 509.32, 702.96 and 310.30 is: 428.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.32 : 702.96 = 310.30 : x
  2. Step 2: Convert to fraction form
    509.32/702.96 = 310.30/x
  3. Step 3: Cross multiply
    509.32x = 702.96 × 310.30
  4. Step 4: Simplify right side
    509.32x = 218,128.49
  5. Step 5: Solve for x
    x = 218,128.49/509.32
  6. Step 6: Final answer
    x = 428.27

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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.