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Finding the Fourth Proportional to 534.98, 802.16 and 246.26

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Solution

The fourth proportional to 534.98, 802.16 and 246.26 is: 369.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    534.98 : 802.16 = 246.26 : x
  2. Step 2: Convert to fraction form
    534.98/802.16 = 246.26/x
  3. Step 3: Cross multiply
    534.98x = 802.16 × 246.26
  4. Step 4: Simplify right side
    534.98x = 197,539.92
  5. Step 5: Solve for x
    x = 197,539.92/534.98
  6. Step 6: Final answer
    x = 369.25

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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.