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Finding the Fourth Proportional to 535.64, 802.84 and 246.47

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Solution

The fourth proportional to 535.64, 802.84 and 246.47 is: 369.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.64 : 802.84 = 246.47 : x
  2. Step 2: Convert to fraction form
    535.64/802.84 = 246.47/x
  3. Step 3: Cross multiply
    535.64x = 802.84 × 246.47
  4. Step 4: Simplify right side
    535.64x = 197,875.97
  5. Step 5: Solve for x
    x = 197,875.97/535.64
  6. Step 6: Final answer
    x = 369.42

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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.