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Finding the Fourth Proportional to 535.10, 802.17 and 210.40

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Solution

The fourth proportional to 535.10, 802.17 and 210.40 is: 315.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    535.10 : 802.17 = 210.40 : x
  2. Step 2: Convert to fraction form
    535.10/802.17 = 210.40/x
  3. Step 3: Cross multiply
    535.10x = 802.17 × 210.40
  4. Step 4: Simplify right side
    535.10x = 168,774.56
  5. Step 5: Solve for x
    x = 168,774.56/535.10
  6. Step 6: Final answer
    x = 315.41

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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.