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Finding the Fourth Proportional to 535.35, 802.80 and 170.04

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Solution

The fourth proportional to 535.35, 802.80 and 170.04 is: 254.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.35 : 802.80 = 170.04 : x
  2. Step 2: Convert to fraction form
    535.35/802.80 = 170.04/x
  3. Step 3: Cross multiply
    535.35x = 802.80 × 170.04
  4. Step 4: Simplify right side
    535.35x = 136,508.11
  5. Step 5: Solve for x
    x = 136,508.11/535.35
  6. Step 6: Final answer
    x = 254.99

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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.