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Finding the Fourth Proportional to 509.12, 702.72 and 299.36

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Solution

The fourth proportional to 509.12, 702.72 and 299.36 is: 413.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    509.12 : 702.72 = 299.36 : x
  2. Step 2: Convert to fraction form
    509.12/702.72 = 299.36/x
  3. Step 3: Cross multiply
    509.12x = 702.72 × 299.36
  4. Step 4: Simplify right side
    509.12x = 210,366.26
  5. Step 5: Solve for x
    x = 210,366.26/509.12
  6. Step 6: Final answer
    x = 413.20

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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.