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Finding the Fourth Proportional to 535.14, 802.52 and 206.11

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Solution

The fourth proportional to 535.14, 802.52 and 206.11 is: 309.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.14 : 802.52 = 206.11 : x
  2. Step 2: Convert to fraction form
    535.14/802.52 = 206.11/x
  3. Step 3: Cross multiply
    535.14x = 802.52 × 206.11
  4. Step 4: Simplify right side
    535.14x = 165,403.38
  5. Step 5: Solve for x
    x = 165,403.38/535.14
  6. Step 6: Final answer
    x = 309.08

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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.